Licensed
Unlicensed
Requires Authentication
Representation Theory of Semisimple Groups
An Overview Based on Examples (PMS-36)
Volume 32 in the series
Princeton Mathematical Series
In the series
Princeton Landmarks in Mathematics and Physics
- Language: English
- Publisher: Princeton University Press
- Copyright year: 1986
- Edition: With a New preface by the author
- Audience: Professional and scholarly;College/higher education;
- Pages
- Main content: 800
- Keywords: 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; K-finite; Weyl character formula; Support (mathematics); Symmetrization; Cohomology; Tensor product; Reductive group; Meromorphic function; Dirac operator; Existence theorem; Metric space; Abelian group; Analytic function; Levi decomposition; Maximal compact subgroup; Induced representation; Universal enveloping algebra; Parity (mathematics); Plancherel theorem; Complexification; Integration by parts; Unitary group; Symmetric algebra; Asymptotic expansion; Analytic proof; Special case; Topological vector space; Quantifier (logic); Haar measure; ZPP (complexity)
eBook
- Published: June 2, 2016
- ISBN: 9781400883974
