Clifford correspondence for algebras

2001/08/06 by Sarah J. Witherspoon, Witherspoon, Sarah J.
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA

paper · pdf · doi:10.48550/arxiv.math/0108034

12 pages

arxiv created 2001/08/06 · arxiv updated 2009/11/30

Abstract

We give a Clifford correspondence for an algebra A over an algebraically closed field, that is an algorithm for constructing some finite-dimensional simple A-modules from simple modules for a subalgebra and endomorphism algebras. This applies to all finite-dimensional simple A-modules in the case that A is finite-dimensional and semisimple with a given semisimple subalgebra. We discuss connections between our work and earlier results, with a view towards applications particularly to finite-dimensional semisimple Hopf algebras.

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