Clifford correspondence for algebras

Details Clifford correspondence for algebras Clifford correspondence for algebras

2001-08-06

arxiv.org/abs/math/0108034v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

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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