Finite Groups Representation Theory with Coq

  • Sidi Ould Biha
Conference paper

DOI: 10.1007/978-3-642-02614-0_34

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5625)
Cite this paper as:
Biha S.O. (2009) Finite Groups Representation Theory with Coq. In: Carette J., Dixon L., Coen C.S., Watt S.M. (eds) Intelligent Computer Mathematics. CICM 2009. Lecture Notes in Computer Science, vol 5625. Springer, Berlin, Heidelberg

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 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Sidi Ould Biha
    • 1
  1. 1.INRIA Sophia Antipolis, INRIA Microsoft Research Joint CentreFrance

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