11 citations · 11 across the 1 of their papers we have counts for
4 papers
On geometric degenerations and Gerstenhaber formal deformations
Sergio Chouhy
We study the degeneration relations on the varieties of associative and Lie algebra structures on a fixed finite dimensional vector space and give a description of them in terms of…
Isomorphisms of non noetherian down-up algebras
Sergio Chouhy, Andrea Solotar
We solve the isomorphism problem for non noetherian down-up algebras by lifting isomorphisms between some of their non commutative quotients. The quotients we consider a…
Hochschild homology and cohomology of down-up algebras
Sergio Chouhy, Estanislao Herscovich, Andrea Solotar
We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi-Yau homogeneous down-up algebras. This family was defined by Benk…
Projective resolutions of associative algebras and ambiguities
Sergio Chouhy, Andrea Solotar
The aim of this article is to give a method to construct bimodule resolutions of associative algebras, generalizing Bardzell's well-known resolution of monomial algebras. We stress…