35 citations · 71 across the 7 of their papers we have counts for
5 papers · 1 filter
Hochschild cohomology of algebras of differential operators tangent to a central arrangement of lines
Francisco Kordon, Mariano Suárez-Álvarez
Given a central arrangement of lines in a -dimensional vector space over a field of characteristic zero, we study the algebra of diffe…
A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
Mariano Suárez-Álvarez
We show that the action of the Lie algebra HH^1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH^*(A) of A given by the Gerstenhaber bracket can…
Untwisting algebras with van den Bergh duality into Calabi-Yau algebras
Mariano Suárez-Alvarez
Jake Goodman and Ulrich Krähmer have recently shown that a twisted Calabi-Yau algebra with modular automorphism and dimension can be "untwisted," in the sense that the…
PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
Estanislao Herscovich, Andrea Solotar, Mariano Suárez-Álvarez
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-defor…
Applications of the change-of-rings spectral sequence to the computation of Hochschild cohomology
Mariano Suárez-Alvarez
We consider the change-of-rings spectral sequence as it applies to Hochschild cohomology, obtaining a description of the differentials on the first page which relates it to the mul…