Rank varieties for Hopf algebras

Scherotzke, Sarah, Towers, Matthew (2011) Rank varieties for Hopf algebras. Journal of Pure and Applied Algebra, 215 (5). pp. 829-838. ISSN 0022-4049. (doi:10.1016/j.jpaa.2010.06.028) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1016/j.jpaa.2010.06.028

Abstract

We construct rank varieties for the Drinfeld double of the Taft algebra ?n?n and for uq(sl2)uq(sl2). For the Drinfeld double when n=2n=2 this uses a result which identifies a family of subalgebras that control projectivity of ??-modules whenever ?? is a Hopf algebra satisfying a certain homological condition. In this case we show that our rank variety is homeomorphic to the cohomological support variety. We also show that Ext?(M,M)Ext?(M,M) is finitely generated over the cohomology ring of the Drinfeld double for any finitely generated module MM.

Item Type: Article
DOI/Identification number: 10.1016/j.jpaa.2010.06.028
Additional information: number of additional authors: 1;
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Stewart Brownrigg
Date Deposited: 07 Mar 2014 00:05 UTC
Last Modified: 29 May 2019 12:25 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/40462 (The current URI for this page, for reference purposes)
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