User:Waterbug89/Books/Representation Theory of Lie Groups & Lie Algebras

An Elementary Introduction

 * Introduction
 * Representation theory
 * Group representation
 * Lie group
 * Representation of a Lie group
 * Lie algebra
 * Lie algebra representation


 * Representations of Lie Groups
 * (g,K)-module
 * 3-j symbol
 * 6-j symbol
 * Weight
 * 9-j symbol
 * Adjoint representation of a Lie group
 * Affine representation
 * Antifundamental representation
 * Anyon
 * Blattner's conjecture
 * Borel–Weil theorem
 * Borel–Weil–Bott theorem
 * Capelli's identity
 * Casimir invariant
 * Clebsch–Gordan coefficients
 * Coadjoint representation
 * Discrete series representation
 * Gelfand pair
 * Harish-Chandra character
 * Harish-Chandra class
 * Infinitesimal character
 * Kazhdan–Lusztig polynomial
 * Kirillov character formula
 * Langlands program
 * Langlands classification
 * Langlands dual
 * Maximal torus
 * Orbit method
 * Particle physics and representation theory
 * Plancherel theorem for spherical functions
 * Principal series representation
 * Racah W-coefficient
 * Real analytic Eisenstein series
 * Representation theory of SU(2)
 * Representation theory of the Galilean group
 * Representation theory of the Lorentz group
 * Representation theory of the Poincaré group
 * Representative function
 * Spin representation
 * Table of Clebsch–Gordan coefficients
 * Unitarian trick
 * Weyl character formula
 * Wigner D-matrix
 * Wigner's classification
 * Wigner–Eckart theorem


 * Representations of Lie Algebras
 * Adjoint endomorphism
 * Affine action
 * Algebraic character
 * Dynkin index
 * Generalized Verma module
 * Kostant partition function
 * Representation of a Lie superalgebra
 * Verma module