Modular representation theory: Difference between revisions

Revision as of 21:10, 5 November 2024

Revision as of 08:11, 23 November 2024

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{{Short description| Studies linear representations of finite groups over a field K of positive characteristic p}}

'''Modular representation theory''' is a branch of [[mathematics]], and is the part of [[representation theory]] that studies [[linear representation]]s of [[finite group]]s over a [[field (mathematics)|field]] ''K'' of positive [[characteristic (algebra)|characteristic]] ''p'', necessarily a [[prime number]]. As well as having applications to [[group theory]], modular representations arise naturally in other branches of mathematics, such as [[algebraic geometry]], [[coding theory]]{{Citation needed|reason=unveriviable and unsufficient citation about the source|date=May 2017}}, [[combinatorics]] and [[number theory]].