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Lie Groups Beyond an Introduction
Language: en
Pages: 622
Authors: Anthony W. Knapp
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations.
An Introduction to Lie Groups and Lie Algebras
Language: en
Pages: 237
Authors: Alexander A. Kirillov
Categories: Mathematics
Type: BOOK - Published: 2008-07-31 - Publisher: Cambridge University Press

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This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Lie Groups
Language: en
Pages: 352
Authors: J.J. Duistermaat
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure
Introduction to Lie Algebras and Representation Theory
Language: en
Pages: 189
Authors: J.E. Humphreys
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on
Complex Semisimple Lie Algebras
Language: en
Pages: 82
Authors: Jean-Pierre Serre
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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These notes are a record of a course given in Algiers from lOth to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without