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Representation Theory of Semisimple Groups
An Overview Based on Examples
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Anthony W. Knapp
Language:
English
Published/Copyright:
1986
About this book
In this classic work, Anthony W. Knapp offers a survey of representation theory of semisimple Lie groups in a way that reflects the spirit of the subject and corresponds to the natural learning process. This book is a model of exposition and an invaluable resource for both graduate students and researchers. Although theorems are always stated precisely, many illustrative examples or classes of examples are given. To support this unique approach, the author includes for the reader a useful 300-item bibliography and an extensive section of notes.
Author / Editor information
Anthony W. Knapp is Emeritus Professor of Mathematics, State University of New York at Stony Brook. The author of numerous books, he is the former editor of the Notices of the American Mathematical Society.
Reviews
"Each [theme] is developed carefully and thoroughly, with beautifully worked examples and proofs that reflect long experience in teaching and research. . . . This result is delightful: a readable text that loses almost none of its value as a reference work."---David A. Vogan Jr., Bulletin of the American Mathematical Society
"Anthony Knapp has written a marvelous book. . . . Written with accuracy, style, and a genuine desire to communicate the materials. . . . This is one of the finest books I have ever had the pleasure to read, and I recommend it in the strongest possible terms to anyone wishing to appreciate the intricate beauty and technical difficulty of representation theory of semisimple Lie groups."---R. J. Plymen, Bulletin of the London Mathematical Society
"Winner of the 1997 Leroy P. Steele Prize, American Mathematics Society"
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 2, 2016
eBook ISBN:
9781400883974
Edition:
With a New preface by the author
Pages and Images/Illustrations in book
Main content:
800
eBook ISBN:
9781400883974
Keywords for this book
Theorem; Lie algebra; Dimension (vector space); Complexification (Lie group); Group homomorphism; Semisimple Lie algebra; Cartan subgroup; Matrix coefficient; Locally integrable function; Diagram (category theory); Invertible matrix; Representation theory; Special linear group; Solvable Lie algebra; Bounded set (topological vector space); Nilpotent Lie algebra; Classification theorem; Projection (linear algebra); Norm (mathematics); Subgroup; Zorn's lemma; Algebra homomorphism; Weyl's theorem; Representation of a Lie group; Discrete series representation; Topological group; Continuous function (set theory); General linear group; Automorphic form; Characterization (mathematics); Distribution (mathematics); Matrix group; Identity (mathematics); Tensor algebra; Mathematical induction; Set (mathematics); Fourier inversion theorem; Associative algebra; Holomorphic function; Category theory; Summation; Invariant subspace; Eigenfunction; Unitary representation; Variable (mathematics); Automorphism; Jacobian matrix and determinant; Weight (representation theory); Hyperbolic function; Weyl group; Vector bundle; Special unitary group; Infinitesimal character; Explicit formulae (L-function); Heine–Borel theorem; Admissible representation; Unitary matrix; Cartan subalgebra; Irreducible representation; Conjugate transpose; Complex conjugate representation; Hilbert space; Topological space; Bounded operator; Degenerate bilinear form; Symplectic group; Schwartz space; Sign (mathematics); Eigenvalues and eigenvectors; Hermitian matrix
Audience(s) for this book
College/higher education;Professional and scholarly;
