Chapter

Intelligent Computer Mathematics

Volume 5625 of the series Lecture Notes in Computer Science pp 438-452

Finite Groups Representation Theory with Coq

  • Sidi Ould BihaAffiliated withINRIA Sophia Antipolis, INRIA Microsoft Research Joint Centre

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Abstract

Representation theory is a branch of algebra that allows the study of groups through linear applications, i.e. matrices. Thus problems in abstract groups can be reduced to problems on matrices. Representation theory is the basis of character theory. In this paper we present a formalization of finite groups representation theory in the Coq system that includes a formalization of Maschke’s theorem on reducible finite group algebra.

Keywords

Representation theory Maschke’s theorem linear algebra Coq SSReflect