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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 ...
Hochschild cohomology of triangular matrix algebras
(Academic Press Inc Elsevier Science, 2000-11)
We study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact ...
Hochschild cohomology of incidence algebras as one-point extensions
(Elsevier Science Inc, 2003-12)
The aim of this paper is to compute the Hochschild cohomology groups of particular of algebras associated to partially ordered sets. © 2003 Elsevier Science Inc. All rights reserved.
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 ...
Lie–Rinehart and Hochschild cohomology for algebras of differential operators
(Elsevier Science, 2021-01)
Let be a Lie–Rinehart algebra such that L is S-projective and let U be its universal enveloping algebra. In this paper we present a spectral sequence which converges to the Hochschild cohomology of U with values on a ...
On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras
(Academic Press Inc Elsevier Science, 2020-09)
In this paper we determine the first Hochschild homology and cohomology with different coefficients for gentle algebras and we give a geometrical interpretation of these (co)homologies using the ribbon graph of a gentle ...
The first Hochschild (co)homology when adding arrows to a bound quiver algebra
(Academic Press Inc Elsevier Science, 2019-12)
We provide a formula for the change of the dimension of the first Hochschild cohomology vector space of bound quiver algebras when adding new arrows. For this purpose we show that there exists a short exact sequence which ...
Hochschild cohomology of algebras arising from categories and from bounded quivers
(European Mathematical Society, 2019-10)
The main objective of this paper is to provide a theory for computing the Hochschild cohomology of algebras arising from a linear category with finitely many objects and zero compositions. For this purpose, we consider ...
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 ...
Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
(American Mathematical Society, 2020-02)
We describe how the Hochschild (co)homology of a bound quiver algebra changes when deleting or adding arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained ...