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A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
(Elsevier Science, 2017-08)
We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective ...
Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras
(Springer, 2020-02)
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 ...
The gerstenhaber bracket in hochschild cohomology: methods and examples
(American Mathematical Society, 2020-11)
Homological methods provide important information about the structureof associative algebras, revealing sometimes hidden connections amongst them. Thistext is about the Gerstenhaber bracket in Hochschild cohomology of ...
The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras
(Academic Press Inc Elsevier Science, 2021-08)
We determine the Gerstenhaber structure on the Hochschild cohomology ring of a class of self-injective special biserial algebras. Each of these algebras is presented as a quotient of the path algebra of a certain quiver. ...
Cohomología de Hochschild y estructura de Gerstenhaber de las álgebras toupie
(Udelar. FC., 2015)
Gerstenhaber Algebra Structure on the Hochschild Cohomology of Quadratic String Algebras
(Springer, 2018-02-26)
We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH∗(A) when A is a quadratic string algebra. First we compute the Hochschild cohomology groups using Barzdell’s resolution and we describe generators ...
A Cacti theoretical interpretation of the axioms of bialgebras and H-module algebras
(Elsevier Inc, 2015-04)
We establish a dictionary between the Cacti algebra axioms on a Cacti algebra structure with underlying free associative algebra, under suitable good behavior with degrees. Using these ideas, for an associative algebra A ...
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra
(European Mathematical Society, 2021-12-07)
For each nonzero h ∈ F[x], where F is a field, let Ah be the unital associative algebra generated by elements x; y, satisfying the relation yx - xy = h. This gives a parametric family of subalgebras of the Weyl algebra A1, ...
PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
(European Mathematical Society, 2014-07)
In this article we establish an explicit link between the classical theory of deformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology) and (weak) PBW-deformations of homogeneous algebras. Our point ...