EntityQ13220368· pop 31· linked from 764 articlesrepresentation theorySign in to savebranch of mathematics that studies representations of abstract algebraic structures as linear transformations on vector spacesConnectionslinear mapEntityLie algebraEntityvector spaceEntitymoduleEntityharmonic analysisEntitydimension of a vector spaceEntitycharacteristicEntityorthogonal groupEntitylocally compact spaceEntityup toEntitysquare-integrable functionEntitydirect sumEntityLie algebra representationEntitysimple Lie groupEntityunitary representationEntityalgebra representationEntitymathematicsEntityphysicsEntitygeometryEntityalgebraEntityCategoriesAlgebraic structuresRepresentation theory