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    Station Eleven

    Emily St. John Mandel 9780385353304

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This title in other editions

Oxford Graduate Texts in Mathematics #5: Lie Groups: An Introduction Through Linear Groups

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Oxford Graduate Texts in Mathematics #5: Lie Groups: An Introduction Through Linear Groups Cover

 

Synopses & Reviews

Publisher Comments:

This book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analyzed in detail, first with elementary matrix methods, then with the help of the structural tools typical of the theory of semisimple groups, such as Cartan subgroups, root, weights and reflections. The fundamental groups of the classical groups are worked out as an application of these methods. Manifolds are introduced when needed, in connection with homogeneous spaces, and the elements of differential and integral calculus on manifolds are presented, with special emphasis on integration on groups and homogeneous spaces. Representation theory starts from first principles, such as Schur's lemma and its consequences, and proceeds from there to the Peter-Weyl theorem, Weyl's character formula, and the Borel-Weil theorem, all in the context of linear groups.

Book News Annotation:

An advanced undergraduate and beginning graduate textbook introducing the theory of Lie groups starting straight from calculus and linear algebra and picking up differential geometry, functional analysis, and general topology on the way.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

An introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. Covering the essentials of the subject, starting from basic undergraduate mathematics, it proceeds through the fundamentals of Lie theory up to topics in representation theory.

Synopsis:

Includes bibliographical references (p. 258-260) and index.

Table of Contents

1. The Exponential Map

2. Lie Theory

3. The Classical Groups

4. Manifolds, Homogeneous Spaces, Lie Groups

5. Integration

6. Representations

Appendix: Analytic Functions and Inverse Function Theorem

References

Index

Product Details

ISBN:
9780198596837
Author:
Rossman, Wulf
Publisher:
OUP Oxford
Author:
Rossmann, Wulf
Author:
null, Wulf
Location:
New York
Subject:
Algebra - Linear
Subject:
Group Theory
Subject:
Lie groups
Subject:
Mathematics | Pure Mathematics
Subject:
Mathematics-Linear Algebra
Edition Description:
Includes bibliographical references and index.
Series:
Oxford graduate texts in mathematics ;
Series Volume:
0-18545
Publication Date:
20020131
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
11 line illus.
Pages:
282
Dimensions:
6.3 x 9.3 x 0.8 in 1.25 lb

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Related Subjects

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Oxford Graduate Texts in Mathematics #5: Lie Groups: An Introduction Through Linear Groups New Hardcover
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$133.50 In Stock
Product details 282 pages Oxford University Press - English 9780198596837 Reviews:
"Synopsis" by , An introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. Covering the essentials of the subject, starting from basic undergraduate mathematics, it proceeds through the fundamentals of Lie theory up to topics in representation theory.
"Synopsis" by , Includes bibliographical references (p. 258-260) and index.
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