Clifford correspondence for algebras
Rings and Algebras
2007-05-23 v1 Quantum Algebra
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.
Cite
@article{arxiv.math/0108034,
title = {Clifford correspondence for algebras},
author = {Sarah J. Witherspoon},
journal= {arXiv preprint arXiv:math/0108034},
year = {2007}
}
Comments
12 pages