Lie Groups Lie Algebras And Representations

Author: Brian Hall
Editor: Springer Science & Business Media
ISBN: 9780387401225
File Size: 12,12 MB
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This book addresses Lie groups, Lie algebras, and representation theory. The author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples.From the reviews:"Sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory." --L'Enseignement Mathematique
Lie Groups, Lie Algebras, and Representations
Language: en
Pages: 351
Authors: Brian Hall, Brian C.. Hall
Categories: Mathematics
Type: BOOK - Published: 2003-08-07 - Publisher: Springer Science & Business Media

This book addresses Lie groups, Lie algebras, and representation theory. The author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples.From the reviews:"Sure to
Lie Groups, Lie Algebras, and Representations
Language: en
Pages: 449
Authors: Brian Hall
Categories: Mathematics
Type: BOOK - Published: 2015-05-11 - Publisher: Springer

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most
Lie Groups, Lie Algebras, and Their Representations
Language: en
Pages: 434
Authors: V.S. Varadarajan
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory
Lie Groups, Lie Algebras, and Cohomology
Language: en
Pages: 509
Authors: Anthony W. Knapp
Categories: Mathematics
Type: BOOK - Published: 1988-05-21 - Publisher: Princeton University Press

This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie
Lie Groups, Lie Algebras, and Some of Their Applications
Language: en
Pages: 608
Authors: Robert Gilmore
Categories: Mathematics
Type: BOOK - Published: 2012-05-23 - Publisher: Courier Corporation

This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.