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1. Theory of Lie Groups (PMS-8) by Claude Chevalley | |
Paperback: 232
Pages
(1999-12-21)
list price: US$52.50 -- used & new: US$37.10 (price subject to change: see help) Asin: 0691049904 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special groups are then used to illustrate the general properties of Lie groups, which are considered later. The general notion of a Lie group is defined and correlated with the algebraic notion of a Lie algebra; the subgroups, factor groups, and homomorphisms of Lie groups are studied by making use of the Lie algebra. The last chapter is concerned with the theory of compact groups, culminating in Peter-Weyl's theorem on the existence of representations. Given a compact group, it is shown how one can construct algebraically the corresponding Lie group with complex parameters which appears in the form of a certain algebraic variety (associated algebraic group). This construction is intimately related to the proof of the generalization given by Tannaka of Pontrjagin's duality theorem for Abelian groups. The continued importance of Lie groups in mathematics and theoretical physics make this an indispensable volume for researchers in both fields. Customer Reviews (1)
A landmark, but a bit dated. |
2. The Algebraic Theory of Spinors and Clifford Algebras: Collected Works, Volume 2 (Collected Works of Claude Chevalley) (v. 2) by Claude Chevalley | |
Hardcover: 214
Pages
(1996-12-13)
list price: US$104.00 -- used & new: US$157.99 (price subject to change: see help) Asin: 3540570632 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
3. Classification des Groupes Algébriques Semi-simples: The Classification of Semi-simple Algebraic Groups (Collected Works of Claude Chevalley) (French Edition) by Claude Chevalley | |
Hardcover: 276
Pages
(2005-02-24)
list price: US$89.95 -- used & new: US$84.24 (price subject to change: see help) Asin: 3540230319 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The third volume of the Collected Works of Claude Chevalley assembles his work on semi-simple algebraic groups contained, for the most part, in the notes of the famous "Séminaire Chevalley" held at the Ecole Normale Supérieure in Paris between 1956 and 1958 and written up by participants of the seminar namely, P. Cartier, A. Grothendieck, R. Lazard and J. L. Verdier. These texts have been entirely reset in TeX for this edition, and edited and annotated by Pierre Cartier. Almost 50 years after the original writing, these texts still constitute a choice reference from which to enter and learn this part of the theory of algebraic groups. |
4. The Construction and Study of Certain Important Algebras by Claude Chevalley | |
Paperback: 64
Pages
(1955)
Asin: B0007IUKSW Canada | United Kingdom | Germany | France | Japan | |
5. Theory of Lie groups, I. by Claude Chevalley | |
Hardcover:
Pages
(1970)
Asin: B000U27WUE Canada | United Kingdom | Germany | France | Japan | |
6. Fundamental Concepts of Algebra (Pure & Applied Mathematics) by Claude C. Chevalley | |
Hardcover: 241
Pages
(1957-12)
Isbn: 0121720500 Canada | United Kingdom | Germany | France | Japan | |
7. Introduction to the Theory of Algebraic Functions of One Variable by Claude Chevalley | |
Hardcover: 188
Pages
(1951)
Asin: B000UG78JA Canada | United Kingdom | Germany | France | Japan | |
8. Bourbaki: Alexander Grothendieck, André Weil, Nicolas Bourbaki, Séminaire Nicolas Bourbaki, Serge Lang, Jean-Pierre Serre, Claude Chevalley | |
Paperback: 120
Pages
(2010-09-15)
list price: US$21.05 -- used & new: US$21.05 (price subject to change: see help) Asin: 1155693663 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
9. The Algebraic Theory of Spinors and Clifford Algebras: Collected Works (Collected Works of Claude Chevalley) by Claude Chevalley, Pierre Cartier, Catherine Chevalley | |
Hardcover: 227
Pages
(1996-12)
list price: US$104.00 -- used & new: US$227.74 (price subject to change: see help) Asin: 0387570632 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
10. Theory of LIE Groups by Claude Chevalley | |
Paperback:
Pages
(1946)
Asin: B0018C50LI Canada | United Kingdom | Germany | France | Japan | |
11. THEORY OF LIE GROUPS VOL. I by Claude Chevalley | |
Hardcover:
Pages
(1946)
Asin: B000Q0WPJS Canada | United Kingdom | Germany | France | Japan | |
12. Theorie des groupes de Lie, Tome 2: Groupes algebriques. by Claude Chevalley | |
Paperback: 189
Pages
(1951)
Asin: B000MEI5LK Canada | United Kingdom | Germany | France | Japan | |
13. Theory of Lie Groupos by Claude Chevalley | |
Hardcover:
Pages
(1946)
Asin: B003PQOLSI Canada | United Kingdom | Germany | France | Japan | |
14. Theory of Lie Groups. I. 1st Ed. 1st Pr. Ex-Library by Claude Chevalley | |
Hardcover:
Pages
(1946-01-01)
Asin: B003X5BB84 Canada | United Kingdom | Germany | France | Japan | |
15. Theorie Des Groupes De Lie Tome 2 Alge by Claude Chevalley | |
Paperback:
Pages
(1951-01-01)
Asin: B001P7CZM8 Canada | United Kingdom | Germany | France | Japan | |
16. L'Arithmetique dans Les Algebres de Matrices (Actualites Scientifiques et Industrielles, no. 323, XIV) by Claude Chevalley | |
Hardcover:
Pages
(1936)
Asin: B0046QWPZM Canada | United Kingdom | Germany | France | Japan | |
17. Class Field Theory: Collected Works, Volume 1 (Collected Works of Claude Chevalley) (Vol 1) by Claude Chevalley | |
Hardcover: 350
Pages
(1999-12-01)
Isbn: 3540570667 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
18. Algebraic Theory of Spinors by Claude C Chevalley | |
Hardcover: 131
Pages
(1954)
Asin: B0000CIXL5 Canada | United Kingdom | Germany | France | Japan | |
19. I-Théorie des Groupes de Lie. Tome 2: Groupes algébriques. (Actualités Scientifiques et Industrielles, no.1152) Publications de l'Institut Mathématique de l'Université de Nancago, 1951 by Claude Chevalley | |
Paperback:
Pages
(1951)
Asin: B00165A3BE Canada | United Kingdom | Germany | France | Japan | |
20. IV- Théorie des Groupes de Lie. Tome 3: Théorèmes Généraux sur les Algèbres de Lie. (Actualités Scientifiques et Industrielles, no.1226) Publications de l'Institut Mathématique de l'Université de Nancago, 1955 by Claude Chevalley | |
Paperback:
Pages
(1955)
Asin: B00165EUL8 Canada | United Kingdom | Germany | France | Japan | |
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