$A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomology

Autor:	Negron, C., Volkov, Y., Witherspoon, S.
Rok vydání:	2018
Předmět:	Mathematics - Representation Theory Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	We show that Hochschild cohomology of an algebra over a field is a space of infinity coderivations on an arbitrary projective bimodule resolution of the algebra. The Gerstenhaber bracket is the graded commutator of infinity coderivations. We thus generalize, to an arbitrary resolution, Stasheff's realization of the Gerstenhaber bracket on Hochschild cohomology as the graded commutator of coderivations on the tensor coalgebra of the algebra. Comment: 26 pages; updated references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.03167 Zobrazit plný text záznamu View this record from Arxiv