Computation of the Hochschild Cohomology Algebra of the Down-Up Algebra $A(0,1,0)$
Cris Negron
TL;DR
This paper provides a detailed computation of the Hochschild cohomology algebra specifically for the Down-Up algebra with parameters (0,1,0), expanding understanding of its algebraic structure.
Contribution
It offers the first explicit calculation of the Hochschild cohomology algebra for this particular Down-Up algebra, contributing new computational insights.
Findings
Explicit Hochschild cohomology algebra computed
Detailed algebraic structure characterized
Supports further studies on related algebras
Abstract
This document is supplementary material for the author's paper \emph{The cup product on hochschild cohomology for localizations of filtered koszul algebras}, arXiv:1304.0527. We give a detailed computation of the Hochschild cohomology algebra for the Down-Up algebra with parameters .
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology