M. A. Gatica

activity

20112017

collaborators

4 papers

math.RT2017

Hochschild cohomology of partial relation extensions

Ibrahim Assem, Maria Andrea Gatica, Ralf Schiffler

We show how to compute the low Hochschild cohomology groups of a partial relation extension algebra.

math.RA2015

Idempotent ideals and the Igusa-Todorov functions

Andrea Gatica, Marcelo Lanzilotta, María Inés Platzeck

Let $Λ$ be an artin algebra and $A$ a two-sided idempotent ideal of $Λ$ , that is, $A$ is the trace of a projective $Λ$ -module $P$ in $Λ$ . We consider the cate…

math.RT2015

Hochschild cohomology of relation extension algebras

Ibrahim Assem, M. Andrea Gatica, Ralf Schiffler +1

Let $B$ be the split extension of a finite dimensional algebra $C$ by a $C$ - $C$ -bimodule $E$ . We define a morphism of associative graded algebras $φ^*:\HH^*(B)\rightarrow \HH^*(C)$…

math.RT2011

The higher relation bimodule

Ibrahim Assem, M. Andrea Gatica, Ralf Schiffler

Given a finite dimensional algebra A of finite global dimension, we consider the trivial extension of A by the A-A-bimodule $\oplus_{i\ge 2} \Ext^2_A(DA,A)$, which we call the high…