Article ID Journal Published Year Pages File Type
4586704 Journal of Algebra 2009 7 Pages PDF
Abstract

An algorithm to construct a maximal order Λ in a finite-dimensional semisimple rational algebra A is presented. The discriminants of the simple components of Λ allow one to read off the Wedderburn structure of A. If A has uniformly distributed invariants, which is the case for centralizer algebras of representations of finite groups, then it suffices to do the calculation over the rational integers.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory