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Lie Groups, Lie Algebras, and Cohomology






Publisher:  Princeton University Press
Summary: 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 Un...iversity 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.

Knapp, Anthony W. is the author of Lie Groups, Lie Algebras, and Cohomology, published under ISBN 9780691084985 and 069108498X. One hundred four Lie Groups, Lie Algebras, and Cohomology textbooks are available for sale on ValoreBooks.com, four used from the cheapest price of $27.99, or buy new starting at $96.34.
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Lie Groups, Lie Algebras, and Cohomology

ISBN-13: 9780691084985

ISBN: 069108498X

Publisher: Princeton University Press
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