Hochschild cohomology of smash products and rank one Hopf algebras
S. M. Burciu, S. J. Witherspoon
TL;DR
This paper investigates the Hochschild cohomology ring structure of smash products involving algebras and Hopf algebras, providing explicit computations for a broad class of rank one finite-dimensional Hopf algebras.
Contribution
It offers new general results on Hochschild cohomology ring structures and explicitly computes these for many rank one finite-dimensional Hopf algebras.
Findings
Explicit Hochschild cohomology ring structures for rank one Hopf algebras
General results on Hochschild cohomology of smash products
Computational methods for finite-dimensional Hopf algebras
Abstract
We give some general results on the ring structure of Hochschild cohomology of smash products of algebras with Hopf algebras. We compute this ring structure explicitly for a large class of finite dimensional Hopf algebras of rank one.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research