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21. Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces by M. Bachir Bekka, Matthias Mayer | |
Paperback: 200
Pages
(2000-01-15)
list price: US$65.00 -- used & new: US$48.85 (price subject to change: see help) Asin: 0521660300 Canada | United Kingdom | Germany | France | Japan | |
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22. Combinatorics of Coxeter Groups (Graduate Texts in Mathematics) by Anders Bjorner, Francesco Brenti | |
Paperback: 370
Pages
(2010-11-30)
list price: US$99.00 -- used & new: US$99.00 (price subject to change: see help) Asin: 3642079229 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Includes a rich variety of exercises to accompany the exposition of Coxeter groups Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups |
23. Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups: Ams-Ims-Siam Summer Research Conference on Conformal Field Theo (Contemporary Mathematics) by Paul J., Jr. Sally | |
Paperback: 267
Pages
(1995-01)
list price: US$59.00 -- used & new: US$56.93 (price subject to change: see help) Asin: 0821851861 Canada | United Kingdom | Germany | France | Japan | |
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24. General eigenfunction expansions and unitary representations of topological groups (Polska Akademia Nauk. Monografie matematyczne, tom 48) by Krzystof Maurin | |
Hardcover: 367
Pages
(1968)
Asin: B0007IX61A Canada | United Kingdom | Germany | France | Japan | |
25. Groups: Topological, Combinatorial and Arithmetic Aspects (London Mathematical Society Lecture Note Series) | |
Paperback: 604
Pages
(2004-05-23)
list price: US$125.99 -- used & new: US$10.00 (price subject to change: see help) Asin: 0521542871 Canada | United Kingdom | Germany | France | Japan | |
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26. Splitting in Topological Groups (Memoirs of the American Mathematical Society) by Karl Heinrich Hofmann, Paul S. Mostere | |
Paperback: 75
Pages
(1972-06)
list price: US$21.00 -- used & new: US$29.95 (price subject to change: see help) Asin: 0821812432 Canada | United Kingdom | Germany | France | Japan | |
27. Topological and Asymptotic Aspects of Group Theory (Contemporary Mathematics) by Michael Mihalik, Mark Sapir, Zoran Sunik Rostislav Grigorchuk | |
Paperback: 234
Pages
(2006-03-08)
list price: US$69.00 -- used & new: US$30.73 (price subject to change: see help) Asin: 0821837567 Canada | United Kingdom | Germany | France | Japan | |
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28. Uniform Structures on Topological Groups and Their Quotients by W. Roelcke | |
Hardcover: 276
Pages
(1982-03)
list price: US$67.65 Isbn: 0070534128 Canada | United Kingdom | Germany | France | Japan | |
29. Topological Groups 1ST Edition by Leon Pontrjagin | |
Paperback:
Pages
(1939)
Asin: B000Q9UGI6 Canada | United Kingdom | Germany | France | Japan | |
30. Topological Groups: Characters, Dualities, and Minimal Group Topoligies (Pure and Applied Mathematics) (Vol 130) by Dikran N. Dikranjan, Ivan R. Prodanov, Luchezar N. Stoyanov | |
Hardcover: 287
Pages
(1989-09-26)
list price: US$160.00 -- used & new: US$436.83 (price subject to change: see help) Asin: 0824780477 Canada | United Kingdom | Germany | France | Japan | |
31. Cohomology Theory of Topological Transformation Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) by W.Y. Hsiang | |
Hardcover: 163
Pages
(1975-08-26)
list price: US$64.95 -- used & new: US$64.95 (price subject to change: see help) Asin: 3540071008 Canada | United Kingdom | Germany | France | Japan | |
32. Stratified Lie Groups and Potential Theory for Their Sub-Laplacians (Springer Monographs in Mathematics) by Andrea Bonfiglioli, Ermanno Lanconelli, Francesco Uguzzoni | |
Paperback: 802
Pages
(2010-11-02)
list price: US$109.00 -- used & new: US$109.00 (price subject to change: see help) Asin: 3642090990 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry. |
33. Compact Lie Groups (Graduate Texts in Mathematics) by Mark R. Sepanski | |
Paperback: 198
Pages
(2010-11-02)
list price: US$54.95 -- used & new: US$54.95 (price subject to change: see help) Asin: 1441921389 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups. Customer Reviews (1)
An outstanding introduction to representation theory |
34. Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras (Encyclopaedia of Mathematical Sciences) | |
Paperback: 248
Pages
(2010-11-02)
list price: US$149.00 -- used & new: US$134.10 (price subject to change: see help) Asin: 3642081207 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics. |
35. Stochastic Processes in Non-archimedean Banach Spaces, Manifolds and Topological Groups | |
Hardcover:
Pages
(2010-10)
list price: US$145.00 -- used & new: US$145.00 (price subject to change: see help) Asin: 1616687878 Canada | United Kingdom | Germany | France | Japan | |
36. Classical Topology and Combinatorial Group Theory by John Stillwell | |
Hardcover: 334
Pages
(1993-03-25)
list price: US$89.95 -- used & new: US$60.82 (price subject to change: see help) Asin: 0387979700 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Does not deformation retract onto Munkres et al.
An introduction well worth reading In chapter 0, the author introduces the fundamental concepts in topology with a discussion of the homoemorphism problem. Confining attention to three dimensions and less, the author does mention the impossibility of solving the problem in dimensions greater than or equal to four. He then gives an overview of open and closed sets, continuous functions, identification spaces, and elementary homotopy theory. The building blocks of the main objects he considers in the book, namely simplicial complexes, are discussed in detail. The Haupvermutung is briefly discussed, and a full proof, due to E.E. Moise, of the Jordan curve theorem is given. The proof is the first example of the general approach that the author takes in the book, namely of reducing general topology to combinatorial topology. A brief introduction to algorithms is given, and the author introduces the group theory needed for the rest of the book. Since he is taking an historical approach in this book, the author begins the study of surfaces with the study of Riemann surfaces. He motivates the ideas of Riemann surfaces, such as branched coverings of the 2-sphere, very nicely, and gives a very understandable theorem for surfaces is proved in detail. In addition, the concept of a universal covering space is described beautifully, and the author shows how to obtain it for orientable surfaces of genus greater than one. The author also gives a brief taste of Fuchsian groups. Chapter 2 is devoted completely to the group theory of graphs, as a warm up to the study of the fundamental group in the next chapter. The fundamental group is defined to be an equivalence class of maps, and with the exception of the circle, it is calculated using deformation retraction and the Seifert-Van Kampen theorem. The fundamental group of complexes are then calculated in chapter 4, using first a method due to Poincare, and then directly. Some knot theory is introduced, and the Wirtinger presentation of knot groups is discussed. Homology theory is presented in chapter 5 as an abelianization of the fundamental group, and the abelianization is shown to be independent of the presentation of the fundamental group. The author does not spend much time in homology, arguing (correctly) that in dimensions less than or equal to three the fundemental group contains all the information obtained from homology. The study of curves on surfaces is the subject of chapter 6, with the contractibility problem studied first using Dehn's algorithm. Some methods for "simplifying" simple curves on closed orientable surfaces by homeomorphisms are also discussed. These techniques could be considered an elementary warm-up to the handle calculus procedures done in higher-dimensional topology. The physicist-string-theorist reader will appreciate the discussion of the mapping class group of the torus. All of chapter 7 is devoted to knot theory, and this subject, now of enormous importance in physics and computational biology, is treated in great detail here. The braid group is defined, and Artin's solution of the word problem is given. A very short overview of 3-dimensional manifolds is given in chapter 8, wherein the important concept of a Heegaard splitting is discussed, along with other methods for constructing 3-manifolds. The recognition problem for the 3-sphere, and the famous Poincare conjecture, are mentioned, and the author outlines one method, called shelling a simplicial decomposition, for recoginizing a 3-sphere. He shows however the existence of an unshellable triangulation of the 3-ball (Bing's cube). The author is incorrect though when he states that an algorithm for disproving the conjecture, i.e. an algorithm for enumerating all the 3-manifolds not homeomorphic to the 3-sphere, does not exist. Since the date of publication of this book, such an algorithm has been constructed by Rourke and Sanderson. The book ends with a discussion of unsolvable problems in combinatorial topology. This is an unusual topic in a book on topology, but given the importance currently of computer algorithms in the growing field of "computational topology" such an inclusion is appropriate and useful. The author discusses Turing machines, Church's thesis, and the Halting problem. The author discusses the unsolvable problems in group theory, and shows how the halting problem can be reduced to the word problem in groups. He leaves as an exercise, using the formalism developed in the chapter on presentations of groups, the problem of showing the homeomorphism problem is unsolvable for closed 4-manifolds.
An accessible introduction to low-dimensional topology. |
37. Exercises in Abelian Group Theory (Texts in the Mathematical Sciences) by D. Valcan, C. Pelea, C. Modoi, S. Breaz, Grigore Calugareanu | |
Paperback: 362
Pages
(2010-11-02)
list price: US$109.00 -- used & new: US$109.00 (price subject to change: see help) Asin: 9048162491 Canada | United Kingdom | Germany | France | Japan | |
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38. Applications of the Theory of Groups in Mechanics and Physics (Fundamental Theories of Physics) by Petre P. Teodorescu, Nicolae-A.P. Nicorovici | |
Paperback: 453
Pages
(2010-11-02)
list price: US$329.00 -- used & new: US$329.00 (price subject to change: see help) Asin: 9048165814 Canada | United Kingdom | Germany | France | Japan | |
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39. Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces (Lecture Notes in Mathematics) by Jürgen Berndt, Franco Tricerri, Lieven Vanhecke | |
Paperback: 125
Pages
(1995-04-13)
list price: US$26.00 -- used & new: US$21.90 (price subject to change: see help) Asin: 3540590013 Canada | United Kingdom | Germany | France | Japan | |
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40. Representation Theory of Algebraic Groups and Quantum Groups (Progress in Mathematics) | |
Hardcover: 438
Pages
(2010-12-01)
list price: US$124.00 -- used & new: US$99.20 (price subject to change: see help) Asin: 0817646965 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics |
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