47 citations · 59 across the 6 of their papers we have counts for
6 papers
Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case
Andrea Solotar, Mariano Suárez-Alvarez, Quimey Vivas
We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of 'quantum' type in all but a few exceptional cases.
On the cohomology of a Galois entwining
Mariano Suarez-Alvarez
In this short note, we show that the cohomology of an algebra entwined with a coalgebra as defined by T. Brzeziński (J. Algebra 235 (2001), no. 1, 176--202; arXiv:math.RA/9909108)…
The Hilton-Eckmann argument for cup-products
Mariano Suarez-Alvarez
We present a simple extension of the classical Hilton-Eckmann argument classically used to prove that the endomorphism monoid of the unit object in a monoidal category is commutati…
Twisted Kähler differential forms
Max Karoubi, Mariano Suarez-Alvarez
We construct a braided structure on the algebra of Kähler differential forms of a commutative algebra twisted by an endomorphism. This generalises the construction done in M. Karou…
Algebra structure on the Hochschild cohomology of the ring of invariants of a Weyl algebra under a finite group
Mariano Suarez-Alvarez
Let be the -th Weyl algebra, and let $G\subset\Sp_{2n}(\C)\subset\Aut(A_n)$ be a finite group of linear automorphisms of . In this paper we compute the multiplicative…
Hochschild homology and cohomology of generalized Weyl algebras
Marco A. Farinati, Andrea L. Solotar, Mariano Suarez-Alvarez
We compute Hochschild homology and cohomology of a class of generalized Weyl algebras (for short GWA, defined by Bavula in St.Petersbourg Math. Journal 1999 4(1) pp. 71-90). Exampl…