3 papers
math.RA2011
The Lie structure on the Hochschild cohomology of a modular group algebra
Selene Sanchez-Flores
We prove that the Gerstenhaber bracket on the Hochschild cohomology of the group algebra of a cyclic group over a field of positive characteristic is not trivial. In this case, we…
math.RA2010
On the semisimplicity of the outer derivations of monomial algebras
Selene Sanchez-Flores
We show that the Hochschild cohomology of a monomial algebra over a field of characteristic zero vanishes from degree two if the first Hochschild cohomology is semisimple as a Lie…
math.RT2007
The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero
Selene Sanchez-Flores
We study the Lie module structure given by the Gerstenhaber bracket on the Hochschild cohomology groups of a monomial algebra with radical square zero. The description of such Lie…