Finite generation of the cohomology of some skew group algebras

Nguyen, Van; Witherspoon, Sarah

doi:10.2140/ant.2014.8.1647

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Finite generation of the cohomology of some skew group algebras

Van C. Nguyen and Sarah Witherspoon

Vol. 8 (2014), No. 7, 1647–1657

DOI: 10.2140/ant.2014.8.1647

Correction: 10.2140/ant.2018.12.491

Abstract

We prove that some skew group algebras have Noetherian cohomology rings, a property inherited from their component parts. The proof is an adaptation of Evens’ proof of finite generation of group cohomology. We apply the result to a series of examples of finite-dimensional Hopf algebras in positive characteristic.

Keywords

cohomology, Hopf algebras, skew group algebras

Mathematical Subject Classification 2010

Primary: 16E40

Secondary: 16T05

Milestones

Received: 4 October 2013

Accepted: 17 August 2014

Published: 21 October 2014

Correction: 13 May 2013

Authors

Van C. Nguyen
Department of Mathematics Northeastern University 567 Lake Hall Boston, MA 02115 United States

Sarah Witherspoon
Department of Mathematics Texas A&M University Mailstop 3368 College Station, TX 77843 United States

Vol. 8, No. 7, 2014