35 citations · 71 across the 7 of their papers we have counts for
9 papers
A simple homological characterization of string algebras of finite representation type
Mariano Suárez-Álvarez
We prove that among the finite dimensional algebras of finite representation type those that are string algebras are precisely the ones that have the property that the middle term…
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…
The algebra of differential operators tangent to a hyperplane arrangement
Mariano Suárez-Álvarez
We prove using an extension of Saito's criterion that the algebra of differential operators tangent to a free hyperplane arrangement is generated by the derivations of the arrangem…
Cyclic extensions are radical
Mariano Suárez-Álvarez
We show that finite Galois extensions with cyclic Galois group are radical.
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…
Automorphisms and isomorphism of quantum generalized Weyl algebras
Mariano Suárez-Alvarez, Quimey Vivas
We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including those where the parameter q is…
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…