Lie Groups, Lie Algebras, and Cohomology pdf epub mobi txt 电子书下载 2025

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出版者:Princeton University Press

作者:Anthony W. Knapp

出品人:

页数:528

译者:

出版时间:1988-5-1

价格:USD 110.00

装帧:Paperback

isbn号码:9780691084985

丛书系列:Mathematical Notes

图书标签:

数学
其余代数7
and
Mathematics
Lie
Groups,
Cohomology.
Algebras,

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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.