Lie algebra representation
HOMOMORPHISM OF LIE ALGEBRAS WHOSE CODOMAIN IS THE ENDOMORPHISM ALGEBRA OF A VECTOR SPACE
Repesentation of a Lie algebra; Representations of Lie algebras; Classification of finite-dimensional representations of semi-simple Lie algebras; Representation of Lie algebras; Lie algebra module; Representation of a Lie algebra; Classification of finite-dimensional representations of semisimple Lie algebras; Representation theory of Lie algebras; Lie algebra action; Representation theory of complex semisimple Lie algebra
In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator. In the language of physics, one looks for a vector space V together with a collection of operators on V satisfying some fixed set of commutation relations, such as the relations satisfied by the angular momentum operators.