Examples of support varieties for Hopf algebras with noncommutative tensor products

Dave Benson; Sarah Witherspoon

doi:10.1007/s00013-014-0659-8

Examples of support varieties for Hopf algebras with noncommutative tensor products

Dave Benson, Sarah Witherspoon

Mathematical Science

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	513-520
Number of pages	8
Journal	Archiv der Mathematik
Volume	102
Issue number	6
DOIs	https://doi.org/10.1007/s00013-014-0659-8
Publication status	Published - 26 Jun 2014

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AB - 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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JO - Archiv der Mathematik

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Examples of support varieties for Hopf algebras with noncommutative tensor products

Abstract

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