Tensor Products and Support Varieties for Some Noncocommutative Hopf Algebras Academic Article uri icon

abstract

  • © 2017, Springer Science+Business Media B.V. We explore questions of projectivity and tensor products of modules for finite dimensional Hopf algebras. We construct many classes of examples in which tensor powers of nonprojective modules are projective and tensor products of modules in one order are projective but in the other order are not. Our examples are smash coproducts with duals of group algebras, some having algebra and coalgebra structures twisted by cocycles. We apply support variety theory for these Hopf algebras as a tool in our investigations.

author list (cited authors)

  • Plavnik, J. Y., & Witherspoon, S.

citation count

  • 3

publication date

  • June 2017