Category:Representation theory of Lie groups

• Representation of a Lie group

(

• (g,K)-module

0–9

• 3-j symbol
• 6-j symbol
• 9-j symbol

A

• Adjoint representation
• Affine representation
• Antifundamental representation
• Anyon

B

• Blattner's conjecture
• Borel–Weil–Bott theorem

C

• Capelli's identity
• Casimir element
• Chevalley restriction theorem
• Clebsch–Gordan coefficients
• Coadjoint representation

D

• Discrete series representation

F

• Frobenius–Schur indicator
• Fundamental representation

G

• Galilei-covariant tensor formulation
• Gan–Gross–Prasad conjecture
• Gelfand pair

H

• Harish-Chandra character
• Harish-Chandra class
• Harish-Chandra homomorphism
• Harish-Chandra module
• Harish-Chandra transform
• Hecke algebra of a finite group
• Holomorphic discrete series representation

I

• Infeld–Van der Waerden symbols
• Infinitesimal character
• Isotropy representation

K

• Kazhdan–Lusztig polynomial
• Kirillov character formula

L

• Lafforgue's theorem
• Langlands classification
• Langlands dual group
• Langlands program
• Local Langlands conjectures

M

• Maximal torus

O

• Orbit method

P

• Particle physics and representation theory
• Plancherel theorem for spherical functions
• Principal series representation

R

• Racah W-coefficient
• Real analytic Eisenstein series
• Representation theory of SL2(R)
• Representation theory of SU(2)
• Representation theory of the Galilean group
• Representation theory of the Lorentz group
• Representation theory of the Poincaré group
• Representations of classical Lie groups
• Representative function

S

• Spin representation

T

• Table of Clebsch–Gordan coefficients

U

• Unitarian trick

W

• Weight (representation theory)
• Weight space (representation theory)
• Weyl character formula
• Wigner D-matrix
• Wigner–Eckart theorem
• Wigner's classification

Z

• Zonal spherical function