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

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Anthony W. Knapp

Princeton University Press

1988-5-1

528

USD 110.00

Paperback

Mathematical Notes

9780691084985

图书标签: 数学其余代数7 and Mathematics Lie Groups, Cohomology. Algebras,

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发表于2025-01-01

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

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

图书描述

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 下载 mobi epub pdf txt 电子书