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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.
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
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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Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
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
Representations of Semisimple Lie Algebras in the BGG Category O
Language: en
Pages: 289
Authors: James E. Humphreys
Categories: Education
Type: BOOK - Published: 2021-07-14 - Publisher: American Mathematical Soc.

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This is the first textbook treatment of work leading to the landmark 1979 Kazhdan–Lusztig Conjecture on characters of simple highest weight modules for a semi