List of representation theory topics
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
General representation theory">Representation theory">General representation theory
- Linear representation
- *Unitary representation
- Trivial representation
- Irreducible representation
- *Semisimple
- Complex representation
- Real representation
- Quaternionic representation
- Pseudo-real representation
- Symplectic representation
- Schur's lemma
- Restricted representation
Representation [theory of groups">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
- 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