Modular representation theory: Difference between revisions

Revision as of 13:53, 17 November 2020

Revision as of 12:47, 18 February 2021

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

'''Modular representation theory''' is a branch of [[mathematics]], and that 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]].

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* {{cite book | author=Jean-Pierre Serre | title=Linear Representations of Finite Groups | url=https://archive.org/details/linearrepresenta1977serr | url-access=registration | publisher=[[Springer-Verlag]] | year=1977 | isbn=0-387-90190-6| author-link=Jean-Pierre Serre }}

* {{cite book | author=Walter Feit | authorlink=Walter Feit | title=The representation theory of finite groups | series=North-Holland Mathematical Library | volume=25 | publisher=North-Holland Publishing | ___location=Amsterdam-New York | year=1982 | isbn=0-444-86155-6 }}

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{{DEFAULTSORT:Modular Representation Theory}}