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Representation Theory : A First Course / William Fulton and Joe Harris
New York : Springer, 2004
559 p. : With 144 Illustrations ; cm.
Ký hiệu phân loại (DDC): 512.55
This volume represents a series of lectures which aims to introduce the beginner to the finite dimensional representations of Lie groups and Lie algebras. Following an introduction to representation theory of finite groups, the text explains how to work out the representations of classical groups.
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The descent map from automorphic representations of GL(n) to classical groups / D. Ginzburg, Stephen Rallis, David Soudry
Singapore : World Scientific Pub., 2011.
ix, 339 pages. : illustrations ; 26 cm.
Ký hiệu phân loại (DDC): 512.73
This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of Gelfand-Graev type, or of Fourier-Jacobi type when applied to certain residual Eisenstein series.
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