Representation Theory of Semisimple Groups
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A01=Anthony W. Knapp
Admissible representation
Algebra homomorphism
Associative algebra
Author_Anthony W. Knapp
Automorphic form
Automorphism
Bounded operator
Bounded set (topological vector space)
Cartan subalgebra
Cartan subgroup
Category theory
Category=PBF
Characterization (mathematics)
Classification theorem
Complex conjugate representation
Complexification (Lie group)
Conjugate transpose
Continuous function (set theory)
Degenerate bilinear form
Diagram (category theory)
Dimension (vector space)
Discrete series representation
Distribution (mathematics)
Eigenfunction
Eigenvalues and eigenvectors
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Explicit formulae (L-function)
Fourier inversion theorem
General linear group
Group homomorphism
Heine-Borel theorem
Hermitian matrix
Hilbert space
Holomorphic function
Hyperbolic function
Identity (mathematics)
Infinitesimal character
Invariant subspace
Invertible matrix
Irreducible representation
Jacobian matrix and determinant
Lie algebra
Locally integrable function
Mathematical induction
Matrix coefficient
Matrix group
Nilpotent Lie algebra
Norm (mathematics)
Projection (linear algebra)
Representation of a Lie group
Representation theory
Schwartz space
Semisimple Lie algebra
Set (mathematics)
Sign (mathematics)
Solvable Lie algebra
Special linear group
Special unitary group
Subgroup
Summation
Symplectic group
Tensor algebra
Theorem
Topological group
Topological space
Unitary matrix
Unitary representation
Variable (mathematics)
Vector bundle
Weight (representation theory)
Weyl group
Weyl's theorem
Zorn's lemma
Product details
- ISBN 9780691090894
- Weight: 1077g
- Dimensions: 152 x 235mm
- Publication Date: 07 Oct 2001
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
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.
