List of representation theory topics
{{Short description|none}}
This is a list of representation theory topics, by Wikipedia page. See also list of harmonic analysis topics, which is more directed towards the mathematical analysis aspects of representation theory.
See also: Glossary of representation theory
[[Representation theory|General representation theory]]
[[Group representation|Representation theory of groups]]
- Group representation
- Group ring
- Maschke's theorem
- Regular representation
- Character (mathematics)
- Character theory
- Class function
- Representation theory of finite groups
- Modular representation theory
- Frobenius reciprocity
- Restricted representation
- Induced representation
- Peter–Weyl theorem
- Young tableau
- Spherical harmonic
- Hecke operator
- Representation theory of the symmetric group
- Representation theory of diffeomorphism groups
- Permutation representation
- Affine representation
- Projective representation
- Central extension
[[Representation theory of Lie groups]] and [[Lie algebra]]s
{{see also|List of Lie groups topics}}
- Representation of a Lie group
- Lie algebra representation, Representation of a Lie superalgebra
- Universal enveloping algebra
- Casimir element
- Infinitesimal character
- Harish-Chandra homomorphism
- Fundamental representation
- Antifundamental representation
- Bifundamental representation
- Adjoint representation
- Weight (representation theory)
- Cartan's theorem
- Spinor
- Wigner's classification, Representation theory of the Poincaré group
- Wigner–Eckart theorem
- Stone–von Neumann theorem
- Orbit method
- Kirillov character formula
- Weyl character formula
- Discrete series representation
- Principal series representation
- Borel–Weil–Bott theorem