Noun
representation theory (countable and uncountable, plural representation theories)
(mathematics, algebra) A branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Representation theory * The universal enveloping algebra of a Lie algebra is an associative algebra that can be used to study the given Lie algebra. Source: Internet
Kuipers 1999 Representation theory is both an application of the group concept and important for a deeper understanding of groups. Source: Internet
Representation theory also depends heavily on the type of vector space on which the group acts. Source: Internet
Representation theory studies the actions of algebraic objects on vector spaces by representing these objects as matrices. Source: Internet