User:Waterbug89/Books/Representation Theory of Lie Groups & Lie Algebras
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Representation Theory of Lie Groups & Lie Algebras[edit]
An Elementary Introduction[edit]
- 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