Gerstenhaber structure on Hochschild cohomology of toupie algebras
Dalia Artenstein, Marcelo Lanzilotta, Andrea Solotar
TL;DR
This paper investigates the Gerstenhaber algebra structure of Hochschild cohomology for toupie algebras, aiming to understand their Lie algebra and module structures.
Contribution
It provides a detailed description of the Gerstenhaber structure on Hochschild cohomology for toupie algebras, a novel class of algebras.
Findings
Gerstenhaber structure characterized for toupie algebras
Lie algebra structure of Hochschild cohomology described
Hochschild cohomology modules analyzed
Abstract
We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module structure of the whole Hochschild cohomology.
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