16 citations · 78 across the 23 of their papers we have counts for
14 papers · 1 filter
Maurer-Cartan equation for gentle algebras
Monique Müller, María Julia Redondo, Fiorela Rossi Bertone +1
Let be a finite-dimensional gentle algebra. In this article, under some hypothesis on the quiver , we give conditions for nilpotency of the -structure o…
The Ext-algebra for infinitesimal deformations
María Julia Redondo, Lucrecia Román, Fiorela Rossi Bertone
Let be a Hochschild -cocycle and let be an infinitesimal deformation of an associative finite dimensional algebra over an algebraically closed field . We in…
-structure on Barzdell's complex for monomial algebras
María Julia Redondo, Fiorela Rossi Bertone
Let be a monomial associative finite dimensional algebra over a field of characteristic zero. It is well known that the Hochschild cohomology of can be computed usi…
Morita invariance for infinitesimal deformations
María Julia Redondo, Lucrecia Román, Fiorela Rossi Bertone +1
Let and be two Morita equivalent finite dimensional associative algebras over a field . It is well known that Hochschild cohomology is invariant under Morita equival…
The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras
Joanna Meinel, Van C. Nguyen, Bregje Pauwels +2
We determine the Gerstenhaber structure on the Hochschild cohomology ring of a class of self-injective special biserial algebras. Each of these algebras is presented as a quotient…
Comparison morphisms between two projective resolutions of monomial algebras
Maria Julia Redondo, Lucrecia Roman
We construct comparison morphisms between two well-known projective resolutions of a monomial algebra : the bar resolution and Bardzell's resolution; the first one is used to de…
Cohomology of partial smash products
Edson Ribeiro Alvares, Marcelo Muniz Alves, Maria Julia Redondo
We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations and with the partial au…
Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras
Maria Julia Redondo, Lucrecia Roman
We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH* when is a quadratic string algebra. First we compute the Hochschild cohomology groups using…
Fundamental group of Schurian categories and the Hurewicz isomorphism
Claude Cibils, Maria Julia Redondo, Andrea Solotar
Let k be a field. We attach a CW-complex to any Schurian k-category and we prove that the fundamental group of this CW-complex is isomorphic to the intrinsic fundamental group of t…
Full and convex linear subcategories are incompressible
Claude Cibils, Maria Julia Redondo, Andrea Solotar
Consider the intrinsic fundamental group à la Grothendieck of a linear category using connected gradings. In this article we prove that any full convex subcategory is incompressibl…
Connected gradings and fundamental group
Claude Cibils, Maria Julia Redondo, Andrea Solotar
The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a -algebra , we consider the category…
The first Hochschild cohomology group of a schurian cluster-tilted algebra
Ibrahim Assem, Maria Julia Redondo
Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH^1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representati…
The Intrinsic Fundamental Group of a Linear Category
Claude Cibils, Maria Julia Redondo, Andrea Solotar
We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings. If the universal co…
Cartan-Leray spectral sequence for Galois coverings of linear categories
Claude Cibils, Maria Julia Redondo
We provide a Cartan-Leray type spectral sequence for the Hochschild-Mitchell (co)homology of a Galois covering of linear categories. We infer results relating the Galois group and…