Tensor products and support varieties for some noncocommutative Hopf algebras
Quantum Algebra
2017-06-02 v2 Representation Theory
Abstract
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 a cocycle. We develop a theory of support varieties for these Hopf algebras to use as a tool in our investigations.
Keywords
Cite
@article{arxiv.1611.10285,
title = {Tensor products and support varieties for some noncocommutative Hopf algebras},
author = {Julia Yael Plavnik and Sarah Witherspoon},
journal= {arXiv preprint arXiv:1611.10285},
year = {2017}
}
Comments
We have condensed the preliminaries and we have corrected some typos. 20 pages