Clifford Correspondence for Finite Dimensional Hopf Algebras Academic Article uri icon

abstract

  • Let B#H be a crossed product algebra over an algebraically closed field, with H a finite dimensional Hopf algebra. We give an explicit equivalence between the category of finite dimensional B#H-modules whose restriction to B is a direct sum of copies of a stable irreducible B-module, and the category of modules for a twisted product of H with the field. This describes all finite dimensional irreducible B#H-modules containing a stable irreducible B-submodule, and thus generalizes the classical stable Clifford correspondence for groups. In case H is cocommutative, we extend this correspondence to the nonstable case. 1999 Academic Press.

published proceedings

  • Journal of Algebra

author list (cited authors)

  • Witherspoon, S. J.

citation count

  • 9

complete list of authors

  • Witherspoon, SJ

publication date

  • August 1999