21. Harish-Chandra Vertices - Dipper, Du (ResearchIndex) Hecke Algebras and Representations of Finite Reductive Groups Dipper (Correct)Green Theory For Hecke Algebras And harish-chandra Philosophy - Dipper (1994 http://citeseer.nj.nec.com/102862.html

Harish-Chandra Vertices (1993) (Make Corrections) (9 citations) Richard Dipper, Jie Du Home/Search Context Related View or download: abel.mathematik.unistutt ddhcvert.ps Cached: PS.gz PS PDF DjVu ... Help From: fermivista.math nistuttgart.de (more) Homepages: J.Du HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: this paper incorporating a third idea which goes back to a paper of Grabmeier [Gr], namely the idea of a Mackey system. Thus HarishChandra philosophy appears as the special case of this general theory, where the Mackey system is the system of parabolic subgroups and their unipotent radical of a finite group of Lie Type. The classical vertex theory is the special case of choosing the Mackey system to consist of all p-subgroups and their trivial subgroups. There is one restriction: Describing a... (Update) Context of citations to this paper: More 0, was given by Deligne (see Lusztig and Spaltenstein [95] In the general case it was proved independently by Dipper and Du and by Howlett and Lehrer [79] In the applications we have in mind, the assumption of Theorem 2.

22. Combinatorics Of Harish-Chandra Modules Combinatorics of harishchandra modules. These lectures (given at a NATO-workshop1997 in Montreal) survey recent work on the combinatorics http://home.mathematik.uni-freiburg.de/soergel/PReprints/Mon.html

Combinatorics of Harish-Chandra modules These lectures (given at a NATO-workshop 1997 in Montreal) survey recent work on the combinatorics of certain infinite dimensional representations of complex semisimple Lie algebras. Their focus is not on understanding the irreducible objects but rather on understanding the structure of suitable representation categories. They concentrate on the relation of these representation categories with categories of modules over the coinvariant algebra associated to the action of the Weyl group on a Cartan subalgebra. We also discuss conjectural generalizations to the representation theory of real Lie groups.

23. Twisted Harish-Chandra Sheaves And Whittaker Modules: The Non-degenerate Case Twisted harishchandra sheaves and Whittaker modules The non-degeneratecase (with D. Milicic). In this paper we develop a geometric http://home.mathematik.uni-freiburg.de/soergel/PReprints/whittaker.html

Twisted Harish-Chandra sheaves and Whittaker modules: The non-degenerate case (with D. Milicic) In this paper we develop a geometric approach to the study of the category of Whittaker modules. As an application, we reprove a well-known result of B. Kostant on the structure of the category of non-degenerate Whittaker modules.

24. A Harish-Chandra Homomorphism For Reductive Group Actions. A harishchandra Homomorphism for Reductive Group Actions. Let Gbe a connected reductive group and Xa smooth G-variety. Theorem http://www.math.rutgers.edu/~knop/papers/HC.html

A Harish-Chandra Homomorphism for Reductive Group Actions. Let G be a connected reductive group and X a smooth G-variety. Theorem : Assume that X is either spherical or affine. Then the center Z(X) of the ring of G-invariant differential operators on X is a polynomial ring. More precisely, Z(X) is isomorphic to the ring of invariants of a finite reflection group. Appeared in: Annals of Mathematics, Series II Available files: DVI-file (needs the symbol font Postscript file Pdf-file Original article (Jstor) Index Friedrich Knop / knop@math.rutgers.edu / October 26, 2000

25. Harish-Chandra's Plancherel Formula harishchandra's Plancherel formula. For real of . The Plancherel formulaof harish-chandra is a very beautiful and complex result. To http://www.stieltjes.org/archief/rep9899/node15.html

Next: Langlands reciprocity Up: Representation Theory of Algebraic Previous: Reductive algebraic groups Harish-Chandra's Plancherel formula For real reductive groups the Plancherel formula was found by Harish-Chandra, in 1976, after a monumental effort that took him more than 20 years. What is described by Harish-Chandra is the support of the Plancherel measure, the part of that is usually called the tempered dual . What comes out of the analysis of Harish-Chandra is, roughly, that the tempered representations arise in series of various dimensions that are parametrized by the dual groups of the maximal tori of . We count the maximal tori of modulo conjugacy, and we consider the dual modulo the action of a certain finite group called the Weyl group of The Plancherel formula of Harish-Chandra is a very beautiful and complex result. To obtain this result it was necessary to introduce numerous new notions. One of the cornerstones is the construction of the so called discrete series . These representations can be viewed as the basic building blocks for general tempered representations. Harish-Chandra has given a complete classification of the discrete series representations of any real reductive group The construction of tempered representations of real reductive groups is reasonably well understood at present. Modern constructions are based on geometric (cohomological) methods. The precise classification of the irreducible tempered representations requires a complicated and detailed study of reducibility questions for singular induced representations. This problem was solved by Knapp and Zuckerman in 1977.

26. ~?-?(Harish-Chandra, 1923~1983)~ The summary for this Korean page contains characters that cannot be correctly displayed in this language/character set. http://members.tripod.lycos.co.kr/babo25/math9.htm

27. AV #83708 - Video Cassette - Harish-Chandra And His Work AV 83708 harishchandra and His Work. AMS-MAA Invited Address Series. harish-chandra’sharmonic analysis of L 2 (G) for a real reductive group G is detailed. http://www.sfsu.edu/~avitv/avcatalog/83708.htm

AV# 83708 Harish-Chandra and His Work AMS-MAA Invited Address Series Video Cassette - 49 minutes - Color - 1991 (G) for a real reductive group G is detailed. Access Policy for this Title Search AV Library Titles for: Last modified on January 29, 2003 by av@sfsu.edu

28. [5.92] Sumathi RAO [sumathi@mri.ernet.in, Harish-chandra Research Institute, All removed. 5.92 Sumathi RAO sumathi@mri.ernet.in, harishchandra ResearchInstitute, Allahabad, India Transport in quantum wires. http://www-spht.cea.fr/th2002/noframes/abstracts/node409.html

Table of Contents Contributions to TH-2002 these pages are automatically generated from received abstracts without prior manual editing, and should be considered nothing but a raw draft of the final Book of Abstracts. Thus, you are kindly requested not to send any comment complaining about mistakes in the text or in the typographical layout , because these comments will be ignored. This document includes abstracts received before July 16th, 2002 ; it will be updated in the future. As a general rule, abstracts are presented under the responsability of the authors; in exceptional cases a few of them could be ultimately be removed, upon decision of our thematic committees. On the other hand, abstracts sent by anyone who is not a participant to TH-2002 may also be removed. Sumathi R AO sumathi@mri.ernet.in Harish-chandra Research Institute, Allahabad, India Transport in quantum wires We study transport through quantum wires paying special attention to the role of contacts (for two wires) and junctions( for many wires). By using short Luttinger liquid wires as contacts and by introducing small barriers between the contacts and the leads, and using the standard techniques of bosonisation and renormalisation group, we explain the flat and gate voltage independent renormalisations of the conductance quantisations that is seen in quantum wires experimentally, including the temperature and length dependences. In the presence of a magnetic field, our model also gives rise to an interesting odd-even effect, with bands with spins parallel to the magnetic field getting renormalised differently from the bands with spins anti-parallel to the magnetic field. This has also been experimentally seen.

29. Arbeitsgemeinschaft In Oberwolfach Unitarity, irreducibility and admissibility. harishchandra modules 12, 13, 20. WednesdayApplications to harish-chandra modules harish-chandra sheaves. http://www.math.utah.edu/~milicic/program.html

Program: Sunday: Arrival Monday: State of the art before localization Semisimple complex Lie algebras, root systems, Weyl groups, Borel subalgebras, universal enveloping algebras, Harish-Chandra isomorphism, finite dimensional representations [10]. Representations of compact groups. Irreducible implies finite dimensional. Continuous representations of semisimple Lie groups in Banach spaces. Unitarity, irreducibility and admissibility. Harish-Chandra modules [12], [13], [20]. Classification of simple Harish-Chandra modules following Langlands. Discrete series, tempered representations [13], [20]. Harish-Chandra modules for complex semisimple Lie groups and highest-weight modules [8]. Tuesday: D-modules and localization D-modules on smooth varieties. Inverse and direct images. Coherence, characteristic variety, Bernstein's theorem on the dimension of the characteristic variety [2], [7]. Holonomic modules. Preservation of holonomicity under inverse and direct images. Duality. Classification of irreducible holonomic modules [2], [7]. Panorama: D-modules with regular singularities, Riemann-Hilbert correspondence, perverse sheaves, intersection cohomology, decomposition theorem [2], [5], [7].

30. Dragan Milicic's Home Page Amer. Math. Soc., 108 (1990), 249254. (dvi file); Intertwining functors andirreducibility of standard harish-chandra sheaves from Harmonic Analysis on http://www.math.utah.edu/~milicic/

Dragan Milicic This home page is still under construction. Undergraduate Classes: Spring Semester 2003 Math 2160 Spring Semester 2002 Math 2160 Graduate Classes: Fall Semester 2002/ Spring Semester 2003 Notes for the Lie Groups class (pdf file) Fall Semester 2001/ Spring Semester 2002 Notes for the Perverse Sheaves class (pdf GnuPG Public Key file) At present, this is a rapidly changing set of notes on derived categories! E-prints: Localization and Representation Theory of Reductive Lie Groups (dvi file) Asymptotic behavior of matrix coefficients of admissible representations (with W. Casselman), Duke Math. Journal (1982), 869-930 (pdf file) On the cohomological dimension of the localization functor (with H. Hecht) Proc. Amer. Math. Soc. (1990), 249-254. (dvi file) Intertwining functors and irreducibility of standard Harish-Chandra sheaves from Harmonic Analysis on Reductive Groups Algebraic D-modules and representation theory of semisimple Lie groups from Analytic Cohomology and Penrose Transform, M. Eastwood, J.A. Wolf, R. Zierau, editors, Contemporary Mathematics, Vol. 154 (1993), 133-168. (pdf file)

31. Harish-Chandra Conference Abstract Anthony W. Knapp. Abstract of Intertwining operators and small unitaryrepresentations In several authors' attempts to classify http://www.math.sunysb.edu/~aknapp/abstracts/hc-conf.html

Anthony W. Knapp Abstract of "Intertwining operators and small unitary representations" In several authors' attempts to classify the irreducible unitary representations of semisimple Lie groups, representations that are "small" play a pivotal role. The trouble is that there are too many small representations for the unitarity of all of them to be decided by direct calculations. This article proposes a technique for combining the use of intertwining operators and cohomological induction to reduce the investigation of all small representations to the investigation of just a few of them. It illustrates the technique by giving applications to analytic continuations of discrete series, both holomorphic and nonholomorphic. It includes a certain amount of expository background concerning discrete series, analytic continuations thereof, and cohomological induction.

32. Gregg Zuckerman At MSRI - A Generalization Of Harish-Chandra's Discrete Series T MSRI Streaming Video Series Gregg Zuckerman A generalization of harish-chandra'sdiscrete series to Lie superalgebras A PDF version of the lecture notes is http://www.msri.org/publications/ln/msri/2002/ssymmetry/zuckerman/1/

MSRI Streaming Video Series Gregg Zuckerman - A generalization of Harish-Chandra's discrete series to Lie superalgebras A PDF version of the lecture notes is available here

33. A Generalization Of Harish-Chandra's Discrete Series To Lie Superalgebras Calendar. A generalization of harishchandra's discrete series to Liesuperalgebras. Gregg Zuckerman (Scheduled Workshop Talk). Friday http://zeta.msri.org/calendar/talks/TalkInfo/1237/show_talk

Calendar A generalization of Harish-Chandra's discrete series to Lie superalgebras Gregg Zuckerman (Scheduled Workshop Talk) Friday, Apr 26, 2002 2:00 pm to 3:00 pm at the MSRI Lecture Hall, Mathematical Sciences Research Institute, Berkeley, California Parent Program: Infinite-Dimensional Algebras and Mathematical Physics Parent Workshop: Conformal Field Theory and Supersymmetry MSRI Home Page Search the MSRI Website Subject and Title Index ... webmaster@msri.org

34. [q-alg/9703010] Kazhdan-Lusztig Tensoring And Harish-Chandra Categories From Fedor Malikov fmalikov@mathj.usc.edu Date Wed, 5 Mar 1997 095654 0800(PST) (19kb) Kazhdan-Lusztig tensoring and harish-chandra categories. http://arxiv.org/abs/q-alg/9703010

Quantum Algebra and Topology, abstract q-alg/9703010 Kazhdan-Lusztig tensoring and Harish-Chandra categories Authors: I.B.Frenkel F.Malikov Comments: 22 pages latex Subj-class: Quantum Algebra We use the Kazhdan-Lusztig tensoring to define affine translation functors, describe annihilating ideals of highest weight modules over an affine Lie algebra in terms of the corresponding VOA, and to sketch a functorial approach to ``affine Harish-Chandra bimodules''. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Links to: arXiv q-alg find abs

35. The Mathematical Legacy Of Harish- California, Los Angeles, CA. The Mathematical Legacy of harishchandraA Celebration of Representation Theory and Harmonic Analysis. http://www.yurinsha.com/321/p17.htm

Edited by: Robert S. Doran, Texas Christian University, Fort Worth, TX, and V. S. Varadarajan, University of California, Los Angeles, CA The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis Description Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, "Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, "Some Recollections of Harish-Chandra", by A. Borel, and "Harish-Chandra's c-Function: A Mathematical Jewel", by S. Helgason. In addition, an expository

36. Untitled Education Ph.D., University of Utah, 1983 BS, Wichita State University, 1978 Ph.D.Thesis Title harishchandra modules with the unique embedding property http://www.math.washington.edu/~colling/Biography/vita299/vita299.html

VITA David H. Collingwood October 5, 2001 Address Department of Mathematics University of Washington Seattle, WA 98195 (206)543-1905, e-mail: colling@math.washington.edu Education Ph.D., University of Utah, 1983 B.S., Wichita State University, 1978 Ph.D. Thesis Title: Harish-Chandra modules with the unique embedding property Thesis Advisor: Henryk Hecht, Professor, University of Utah Positions University of Washington, Professor 1994- Sabbatical Leave 1998-99 University of Washington, Graduate Program Director 1994-97 University of Washington, Associate Professor 1990-94 University of Washington, Assistant Professor 1987-90 NSF Postdoctoral Fellowship, 1985-88 University of Washington, Assistant Professor, Winter-Spring 1988 Institute for Advanced Study, Princeton, Member, Fall semester 1987 University of California at San Diego, Visitor, Spring 1987 University of Oregon, Assistant Professor, (on leave 1985-86, S 87), 1985-87 University of Utah, Visiting Scholar, 1985-86 Institute for Advanced Study, Visitor, Princeton,Summer-Fall1985

37. UW Algebra Seminar Speaker Monty McGovern, University of Washington Title Annihilators and associatedvarieties of harishchandra modules Date January 21, 2003 Abstract http://www.math.washington.edu/~smith/Seminar/W03abs.html

UW Algebra Seminar Abstracts Speaker: Monty McGovern, University of Washington Title: Annihilators and associated varieties of Harish-Chandra modules Date: January 21, 2003 Abstract: Simple Harish-Chandra modules over complex semisimple Lie algebras are typically realized as subquotients of much larger modules which tend to obscure their basic properties. In this talk I will show how to compute three basic invariants attached to a Harish-Chandra module over a classical group via combinatorial algorithms. The results will be incomplete but suggestive. Speaker: Christopher Hacon, University of Utah Title: Characterization of Abelian Varieties Date: January 28, 2003 Abstract: Speaker: Sandor Kovacs, University of Washington Title: Birational classification of algebraic varieties Date: February 4, 2003 Abstract: In this talk I will review the current state of birational classification of varieties. One of the central notions discussed is 'Kodaira dimension'. I will also talk about the Iitaka fibration and how it allows us to concentrate on varieties whose Kodaira dimension is either negative, 0, or equal to their (usual) dimension. Finally, time permitting, I will discuss a few classes with negative Kodaira dimension. An alternative title of the talk is '1954, 1970, 1990'. The audience is invited to solve the implicit riddle in this title. Speaker: Sandor Kovacs, University of Washington

38. Physics Plagiarism Alert Debajyoti Choudhury, (harishchandra Research Institute, Allahabad). DebashisGhoshal, (harish-chandra Research Institute, Allahabad). http://www.geocities.com/physics_plagiarism/

Physics Plagiarism Alert Recent news, February 7 2003: This week, we learned from the media that an enquiry commission has submitted its report on the charges of plagiarism that are the focus of this website. The report confirms that plagiarism has taken place. The commission specifically found the Vice-Chancellor of Kumaon University, Prof. B.S. Rajput, guilty of plagiarism. Here is one of the media reports: Indian Express, February 4, 2003 Subsequently it was announced that Prof. Rajput has resigned as Vice-Chancellor of Kumaon University: The Hindu, February 7, 2003 This page describes a shocking set of instances of plagiarism in Theoretical Physics by an Indian scientist holding a high official position, together with his colleagues If you are a physicist working in or concerned with Indian science, it is important that you view the contents of this page, convince yourself of what they represent and make your opinion known We have presented factual materials that we believe make it completely clear, without a shadow of doubt, that plagiarism has taken place. The identities of the perpetrators of this are also clear. This page was created in the hope that serious action will be taken against those responsible for these shameful actions. Their actions pose a grave danger to the interests and reputation of Indian science.

39. References harishchandra, Invariant Eigendistributions on a Semisimple Lie Group, Trans.Amer. harish-chandra, The characters of semisimple Lie groups, Trans. http://www.math.umd.edu/~jda/ref.html

References This is a list of references, mostly in representation theory and some in automorphic forms. It is somewhat random, out of date, and updated irregularly. Send corrections to jda@math.umd.edu . Last update: 8/18/95. David Vogan has also given me his list of references . You might also be interested in Paul Garrett's bibliography for automorphic forms, L-functions, and representations. [J. Adams] [G. Anderson] , "Theta functions and holomorphic differential forms on compact quotients of bounded symmetric domains," Duke Math. J. 50 (1983), 1137-1170. [J. Arthur] [J. Arthur] , "Unipotent Autormorphic Representations: Conjectures," preprint, to appear in Asterisque. , "Correspondance de Howe pour les groupes finis," preprint. [D. Barbasch, J. Adams] [D. Barbasch] , "The Unitary Dual for Complex Classical Lie Groups," Invent. Math. 96 (1989), 103-176. , "Unipotent Representations of Complex Semisimple Groups," Ann. of Math. (2) 121 (1985), 41-110. , "The local structure of characters," J. Funct. Anal. 37 (1980), 27-55. [V. Bargmann]

40. Adresses Of High Energy Physicists Debajyoti Choudhury, harishchandra Research Institute, Chhatnag Road, Jhunsi,Allahabad - 211019, Weak Interaction Phenomenology, Collider physics http://www.prl.res.in/~utpal/hep/hepph.html

List of Some High Energy Physicists (Link to the address list of Prof. A.Harindranath) Name Address Fields of research e-mail address Pankaj Agrawal Institute of Physics, Sachivalaya Marg, Bhubaneswar - 751005 QCD and collider physics agrawal@iopb.res.in Ramesh Anishetty Institute of Mathematical Sciences, Madras 600113 QCD and Hadronic Physics ramesha@imsc.ernet.in Rahul Basu Institute of Mathematical Sciences, Madras 600113 QCD and Hadronic Physics rahul@imsc.ernet.in Gautam Bhattacharya Theoretical Physics Division, Saha Institute of Nuclear Physics, 1/AF Salt Lake, Kolkata - 700064 Mathematical Physics gautam@saha.ernet.in Gautam Bhattacharyya Theoretical Physics Division, Saha Institute of Nuclear Physics, 1/AF Salt Lake, Kolkata - 700064 Weak Interaction Phenomenology, Supersymmetry and supergravity gb@theory.saha.ernet.in Debajyoti Choudhury Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad - 211019 Weak Interaction Phenomenology, Collider physics, Supersymmetry and supergravity, Extra Dimensions debchou@mri.ernet.in

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