Finite Groups Representation Theory with Coq
- 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
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.
KeywordsRepresentation theory Maschke’s theorem linear algebra Coq SSReflect
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