Gerstenhaber bracket on double Hochschild complex and deformation theory

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dc.creatorShoikhet, Boris
dc.date1999-10-07
dc.date.accessioned2026-07-07T05:31:06Z
dc.date.available2026-07-07T05:31:06Z
dc.descriptionWe construct a differential and a Lie bracket on the space\linebreak $\{\Hom (A^{\otimes k}, A^{\otimes l})\},_{k,l\ge 0}$ for any associative algebra $A$. The restriction of this bracket to the space $\{\Hom (A^{\otimes k}, A)\},_{k\ge 0}$ is exactly the Gerstenhaber bracket. We discuss some formality conjecture related with this construction. We also discuss some applications to deformation theory.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/9910043
dc.identifierhttp://arxiv.org/abs/math/9910043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79220
dc.subjectQuantum Algebra
dc.titleGerstenhaber bracket on double Hochschild complex and deformation theory
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