Semisimple Group (and Loop) Algebras over Finite Fields

Details Semisimple Group (and Loop) Algebras over Finite Fields Semisimple Group (and Loop) Algebras over Finite Fields

2009-07-09

arxiv.org/abs/0907.1592v2

Mathematics

Representation Theory

Scientific paper

We determine the structure of the semisimple group algebra of certain groups
over the rationals and over those finite fields where the Wedderburn
decompositions have the least number of simple components. We apply our work to
obtain similar information about the loop algebras of indecomposable RA loops
and to produce negative answers to the isomorphism problem over various fields.

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