Description: Lie Groups, Lie Algebras, and Cohomology, Paperback by Knapp, Anthony W., ISBN 069108498X, ISBN-13 9780691084985, Brand New, Free shipping in the US
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. Th 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.
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Book Title: Lie Groups, Lie Algebras, and Cohomology
Number of Pages: 528 Pages
Publication Name: Lie Groups, Lie Algebras, and Cohomology
Language: English
Publisher: Princeton University Press
Subject: Group Theory, Algebra / Abstract
Item Height: 1.1 in
Publication Year: 1988
Item Weight: 25 Oz
Type: Textbook
Subject Area: Mathematics
Item Length: 9.2 in
Author: Anthony W. Knapp
Series: Mathematical Notes Ser.
Item Width: 7 in
Format: Trade Paperback