Examples of support varieties for Hopf algebras with noncommutative tensor products
Representation Theory
2013-08-27 v1 Quantum Algebra
Abstract
The representations of some Hopf algebras have curious behavior: Nonprojective modules may have projective tensor powers, and the variety of a tensor product of modules may not be contained in the intersection of their varieties. We explain a family of examples of such Hopf algebras and their modules, and classify left, right, and two-sided ideals in their stable module categories.
Keywords
Cite
@article{arxiv.1308.5262,
title = {Examples of support varieties for Hopf algebras with noncommutative tensor products},
author = {Dave Benson and Sarah Witherspoon},
journal= {arXiv preprint arXiv:1308.5262},
year = {2013}
}
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7 pages