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21. Lie Groups: Beyond an Introduction by Anthony W. Knapp | |
Hardcover: 812
Pages
(2002-08-21)
list price: US$79.95 -- used & new: US$55.94 (price subject to change: see help) Asin: 0817642595 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Topics include a description of all simply connected Lie groups in terms of semisimple Lie groups and semidirect products, the Cartan theory of complex semisimple Lie algebras, the Cartan-Weyl theory of the structure and representations of compact Lie groups and representations of complex semisimple Lie algebras, the classification of real semisimple Lie algebras, the structure theory of noncompact reductive Lie groups as it is now used in research, and integration on reductive groups. Many problems, tables, and bibliographical notes complete this comprehensive work, making the text suitable either for self-study or for courses in the second year of graduate study and beyond. Customer Reviews (1)
Review of Knapp's "Lie groups: beyond an introduction." The long version, if you want more convincing or details: I have used several books recently in learning the structure and |
22. Naive Lie Theory (Undergraduate Texts in Mathematics) by John Stillwell | |
Hardcover: 218
Pages
(2008-07-24)
list price: US$54.95 -- used & new: US$39.95 (price subject to change: see help) Asin: 0387782141 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994). Customer Reviews (6)
Review of Naive Lie Theory
Spectacular introduction to Lie groups and algebras
At my level
a modern introduction to quantum field theory
Excellent read |
23. Automorphic Forms and Lie Superalgebras (Algebra and Applications) by Urmie Ray | |
Paperback: 290
Pages
(2010-11-02)
list price: US$129.00 -- used & new: US$129.00 (price subject to change: see help) Asin: 9048172543 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras. The book examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. It also includes all necessary background information. |
24. Lie Groups and Lie Algebras: Chapters 1-3 by Nicolas Bourbaki | |
Paperback: 450
Pages
(1998-09-18)
list price: US$74.95 -- used & new: US$59.95 (price subject to change: see help) Asin: 3540642420 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
great as references, and.. |
25. Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics) (v. 102) by V.S. Varadarajan | |
Hardcover: 452
Pages
(1984-05-14)
list price: US$89.95 -- used & new: US$38.00 (price subject to change: see help) Asin: 0387909699 Canada | United Kingdom | Germany | France | Japan | |
26. Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics) by Jürgen Fuchs, Christoph Schweigert | |
Paperback: 464
Pages
(2003-10-09)
list price: US$80.00 -- used & new: US$72.00 (price subject to change: see help) Asin: 0521541190 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Mixed feelings |
27. Lie Algebras and Locally Compact Groups (Chicago Lectures in Mathematics) by Irving Kaplansky | |
Paperback: 155
Pages
(1995-02-27)
list price: US$32.00 -- used & new: US$31.97 (price subject to change: see help) Asin: 0226424537 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
28. Lie algebras and quantum mechanics (Mathematics lecture note series) by Robert Hermann, 0805339434(isbn) | |
Paperback: 320
Pages
(1970)
Asin: B0006CZVTC Canada | United Kingdom | Germany | France | Japan | |
29. Secrets, Lies and Algebra by Wendy Lichtman | |
Paperback:
Pages
(2009)
-- used & new: US$5.00 (price subject to change: see help) Asin: B003Y5UT2M Canada | United Kingdom | Germany | France | Japan | |
30. Lie Theory: Lie Algebras and Representations (Progress in Mathematics) | |
Hardcover: 328
Pages
(2003-12-16)
list price: US$99.00 -- used & new: US$63.00 (price subject to change: see help) Asin: 0817633731 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
31. Lectures on Infinite Dimensional Lie Algebra by Minoru Wakimoto | |
Hardcover: 250
Pages
(2002-02-15)
list price: US$131.00 -- used & new: US$121.48 (price subject to change: see help) Asin: 9810241283 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
32. Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics) by Nicolas Bourbaki | |
Paperback: 434
Pages
(2008-11-17)
list price: US$79.95 -- used & new: US$55.07 (price subject to change: see help) Asin: 354068851X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This is the softcover reprint of the English translation of Bourbaki's text Groupes et Algèbres de Lie, Chapters 7 to 9. It completes the previously published translations of Chapters 1 to 3 (3-540-64242-0) and 4 to 6 (978-3-540-69171-6) by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems. Chapter 8 begins with the structure of split semi-simple Lie algebras and their root systems. It goes on to describe the finite-dimensional modules for such algebras, including the character formula of Hermann Weyl. It concludes with the theory of Chevalley orders. Chapter 9 is devoted to the theory of compact Lie groups, beginning with a discussion of their maximal tori, root systems and Weyl groups. It goes on to describe the representation theory of compact Lie groups, including the application of integration to establish Weyl's formula in this context. The chapter concludes with a discussion of the actions of compact Lie groups on manifolds. The nine chapters together form the most comprehensive text available on the theory of Lie groups and Lie algebras. |
33. Introduction to Lie Groups and Lie Algebra, 51 (Pure and Applied Mathematics (Academic Pr)) by Arthur A. Sagle, R. Walde | |
Paperback: 361
Pages
(1986-09-11)
list price: US$142.00 -- used & new: US$107.09 (price subject to change: see help) Asin: 0126145512 Canada | United Kingdom | Germany | France | Japan | |
34. Algebras, Rings and Modules: Lie Algebras and Hopf Algebras (Mathematical Surveys and Monographs) by Michiel Hazewinkel, Nadiya Gubareni, V. V. Kirichenko | |
Hardcover: 411
Pages
(2010-10-20)
list price: US$103.00 -- used & new: US$103.00 (price subject to change: see help) Asin: 0821852620 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
35. Lie Algebras, Geometry, and Toda-Type Systems (Cambridge Lecture Notes in Physics) by Alexander V. Razumov, Mikhail V. Saveliev | |
Paperback: 268
Pages
(1997-05-28)
list price: US$55.00 -- used & new: US$51.19 (price subject to change: see help) Asin: 0521479231 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
36. Nilpotent Lie Algebras (Mathematics and Its Applications) by M. Goze, Y. Khakimdjanov | |
Paperback: 352
Pages
(2010-11-02)
list price: US$179.00 -- used & new: US$179.00 (price subject to change: see help) Asin: 9048146712 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Interesting title, quite bad book. |
37. Analysis on Lie Groups: An Introduction (Cambridge Studies in Advanced Mathematics) by Jacques Faraut | |
Hardcover: 312
Pages
(2008-06-09)
list price: US$75.99 -- used & new: US$60.37 (price subject to change: see help) Asin: 0521719305 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
38. Lie Algebras of Finite and Affine Type (Cambridge Studies in Advanced Mathematics) by Roger Carter | |
Hardcover: 650
Pages
(2005-12-05)
list price: US$99.00 -- used & new: US$82.67 (price subject to change: see help) Asin: 0521851386 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
39. Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics (Applied Mathematical Sciences) by D.H. Sattinger, O.L. Weaver | |
Paperback: 232
Pages
(2010-11-02)
list price: US$84.95 -- used & new: US$60.53 (price subject to change: see help) Asin: 1441930779 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
An interesting introduction |
40. The Lie Algebras su(N): An Introduction by Walter Pfeifer | |
Paperback: 116
Pages
(2003-09-17)
list price: US$69.95 -- used & new: US$40.44 (price subject to change: see help) Asin: 376432418X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Really about time su(n) representaions like these were available
GREAT!
Lie algebra demystified
An excellent practical guide |
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