Concept information
Preferred term
group representation
Definition
- In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Group_representation)
Broader concept
Narrower concepts
- fundamental representation
- invariant convex cone
- Jucys-Murphy element
- Kazhdan-Lusztig polynomial
- Kazhdan's property (T)
- Langlands program
- Littlewood-Richardson rule
- Mautner's lemma
- maximal torus
- quasiregular representation
- reductive group
- representation of a Lie group
- representation ring
- Schur polynomial
- Tannaka-Krein duality
- unitary representation
- Young tableau
- Young's lattice
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-W9LN9ZRK-5