Examples of support varieties for Hopf algebras with noncommutative tensor products |
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| Authors: | Dave Benson Sarah Witherspoon |
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| Institution: | 1. Institute of Mathematics, King’s College, University of Aberdeen, Aberdeen, AB24 3UE, Scotland, UK
2. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA
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| 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. |
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