Lie Groups
Language: English
Published by Springer, 2004
- Hardcover
- Used
Seller: Anybook.com, Lincoln, United KingdomAnybook.com
AbeBooks seller since December 22, 1999
Condition: Used - Fair
£ 35.85
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Add to basketItem description from seller
This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:9780387211541.
Seller Inventory # 4130756
- Title
- Lie Groups
- Author
- Bump, Daniel
- Publisher
- Springer
- Publication year
- 2004
- Condition
- Fair
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387211543
- ISBN 13
- 9780387211541
- Item weight
- 900 grams
- Series
- Book 127 of 180: Graduate Texts in Mathematics
- Seller catalogs
- Mathematics
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and provides a carefully chosen range of material to give the student the bigger picture. For compact Lie groups, the Peter-Weyl theorem, conjugacy of maximal tori (two proofs), Weyl character formula and more are covered. The book continues with the study of complex analytic groups, then general noncompact Lie groups, including the Coxeter presentation of the Weyl group, the Iwasawa and Bruhat decompositions, Cartan decomposition, symmetric spaces, Cayley transforms, relative root systems, Satake diagrams, extended Dynkin diagrams and a survey of the ways Lie groups may be embedded in one another. The book culminates in a ``topics'' section giving depth to the student's understanding of representation theory, taking the Frobenius-Schur duality between the representation theory of the symmetric group and the unitary groups as a unifying theme, with many applications in diverse areas such as random matrix theory, minors of Toeplitz matrices, symmetric algebra decompositions, Gelfand pairs, Hecke algebras, representations of finite general linear groups and the cohomology of Grassmannians and flag varieties.
Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations (Cambridge University Press 1997) and Algebraic Geometry (World Scientific 1998).
"About the title" may belong to another edition of this title.
Anybook.com
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AbeBooks seller since December 22, 1999
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