8 citations · 16 across the 12 of their papers we have counts for
12 papers
The Gerstenhaber bracket and cycles in the module category of a monomial quadratic algebra
Juan Carlos Bustamante, Patrick LeMeur
We establish a link between the Gerstenhaber bracket in the Hochshild cohomology and the behaviour of cycles in the module category of a monomial quadratic algebra .
From the potential to the first Hochschild cohomology group of a cluster tilted algebra
Ibrahim Assem, Juan Carlos Bustamante, Sonia Trepode +1
The objective of this paper is to give a concrete interpretation of the dimension of the first Hochschild cohomology space of a cyclically oriented or tame cluster tilted algebra i…
Representation theory of partial relation extensions
Ibrahim Assem, Juan Carlos Bustamante, Julie Dionne +2
Let C be a finite dimensional algebra of global dimension at most two. A partial relation extension is any trivial extension of C by a direct summand of its relation C-C-bimodule.…
The first Hochschild cohomology group of a cluster-tilted algebra revisited
Ibrahim Assem, Juan Carlos Bustamante, Kiyoshi Igusa +1
Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation…
Hochschild Cohomology and the Derived Class of M-Cluster Tilted Algebras of Type A
Juan Carlos Bustamante, Viviana Gubitosi
We classify all finite dimensional algebras which are derived equivalent to m-cluster tilted algebras of type A.
Special biserial algebras with no outer derivations
Ibrahim Assem, Juan Carlos Bustamante, Patrick Le Meur
Let be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of with coefficients in the bimodule vanishes i…