Representation theory

group homomorphism into the general linear group over a vector space

branch of mathematics that studies representations of abstract algebraic structures as linear transformations on vector spaces

module over a ring with no nontrivial submodules

lemma stating that a module homomorphism between two simple modules over the same ring is either an isomorphism or identically zero

matrices named after Élie Cartan

bialgebra that admits an antipode

type of linear representation

generalized directed graph which is permitted to have multiple arcs and loops

in a vector space

two-dimensional group theory table

theorem on finite-dimensional unital real non-associative algebras endowed with a positive-definite quadratic form

Wikipedia article covering multiple topics

homomorphism G → PGL(V) from a group G to a projective linear group PGL(V) over a vector space V

basis of an algebraic structure that is canonical in a sense that depends on the precise context

deformation of the group algebra of a Coxeter group

mathematical theory

finite-dimensional irreducible representation of a semisimple Lie group whose highest weight is a fundamental weight

a mathematical structure that describes the symmetries of the number line and the regular triangular tesselation of the plane, as well as related higher dimensional objects

linear representation of an associative algebra

module over a Clifford algebra

Maps whose domain and codomain are acted on by the same group, and the function commutes

type of Kac–Moody algebras

representations of finite groups, particularly on vector spaces

distributive lattice of integer partitions

mathematician

quiver describing representations of a group