Lie Groups Lie Algebras And Cohomology

Author: Anthony W. Knapp
Editor: Princeton University Press
ISBN: 9780691084985
File Size: 80,91 MB
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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 groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
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 Cohomology. (MN-34), Volume 34
Language: en
Pages:
Authors: Anthony W. Knapp
Categories: Mathematics
Type: BOOK - Published: 2021-01-12 - 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, Cohomology and Some Applications in Physics
Language: en
Pages: 455
Authors: Josi A. de Azc√°rraga, Josi M. Izquierdo
Categories: Mathematics
Type: BOOK - Published: 1998-08-06 - Publisher: Cambridge University Press

A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.
Lie Groups, Lie Algebras and Cohomology
Language: en
Pages:
Authors: J. A. de Azc√°rraga, University of Cambridge. Department of Applied Mathematics and Theoretical Phyiscs
Categories: Mathematics
Type: BOOK - Published: 1989 - Publisher:

Books about Lie Groups, Lie Algebras and Cohomology
Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space
Language: en
Pages: 166
Authors: P. de la Harpe
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

Books about Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space