Editing Irreducible representation (section)

==History==

Group representation theory was generalized by [[Richard Brauer]] from the 1940s to give [[modular representation theory]], in which the matrix operators act on a vector space over a [[field (mathematics)|field]] <math>K</math> of arbitrary [[characteristic (algebra)|characteristic]], rather than a vector space over the field of [[real number]]s or over the field of [[complex number]]s. The structure analogous to an irreducible representation in the resulting theory is a [[simple module]].{{citation needed|date=July 2013}}