EntityQ1136782· pop 9· linked from 123 articlesLie algebra representationSign in to savehomomorphism of Lie algebras whose codomain is the endomorphism algebra of a vector spaceConnectionsLie algebraEntityadjoint representationEntityalgebra over a fieldEntityorthogonal groupEntityderivationEntityrepresentation of a Lie groupEntityPoincaré–Birkhoff–Witt theoremEntitymathematicsEntityphysicsEntityInternational Standard Book NumberEntityHenri PoincaréEntitydigital object identifierEntitymatrixEntityvector spaceEntityHermann WeylEntityringEntityassociativityEntityHilbert spaceEntityQ118398EntitySophus LieEntityCategoriesRepresentation theory of Lie algebras