A constructive algebraic hierarchy in Coq
Journal of Symbolic Computation - Integrated reasoning and algebra systems
Dependently Typed Records for Representing Mathematical Structure
TPHOLs '00 Proceedings of the 13th International Conference on Theorem Proving in Higher Order Logics
The Mathematica Book
Journal of Functional Programming
Interactive Theorem Proving and Program Development
Interactive Theorem Proving and Program Development
TPHOLs '08 Proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics
A modular formalisation of finite group theory
TPHOLs'07 Proceedings of the 20th international conference on Theorem proving in higher order logics
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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.