Unitary Representations of Reductive Lie Groups 在线电子书 图书标签: 数学
发表于2024-11-13
Unitary Representations of Reductive Lie Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
This book is an expanded version of the "Hermann Weyl Lectures" given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
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Unitary Representations of Reductive Lie Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024