48 citations · 80 across the 14 of their papers we have counts for
11 papers · 1 filter
Hochschild cohomology, finiteness conditions and a generalisation of -Koszul algebras
Ruaa Jawad, Nicole Snashall
Given a finite-dimensional algebra and , we construct a new algebra , called the stretched algebra, and relate the homological properties of and $…
Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results)
Karin Erdmann, Edward Green, Nicole Snashall +1
We return to the fusion rules for the Drinfeld double of the duals of the generalised Taft algebras that we studied in [9]. We first correct some proofs and statements in [9] that…
The Ext algebra and a new generalisation of D-Koszul algebras
Joanne Leader, Nicole Snashall
We generalise Koszul and D-Koszul algebras by introducing a class of graded algebras called (D,A)-stacked algebras. We give a characterisation of (D,A)-stacked algebras and show th…
The Ext algebra of a Brauer graph algebra
Edward L Green, Sibylle Schroll, Nicole Snashall +1
In this paper we study finite generation of the Ext algebra of a Brauer graph algebra by determining the degrees of the generators. As a consequence we characterize the Brauer grap…
Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective
Nicole Snashall, Rachel Taillefer
We consider a natural generalisation of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We…
Group actions and coverings of Brauer graph algebras
Edward L Green, Sibylle Schroll, Nicole Snashall
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer gra…
Hochschild cohomology and support varieties for tame Hecke algebras
Sibylle Schroll, Nicole Snashall
We give a basis for the Hochschild cohomology ring of tame Hecke algebras. We then show that the Hochschild cohomology ring modulo nilpotence is a finitely generated algebra of Kru…
Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras
Nicole Snashall, Rachel Taillefer
We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of…
Support varieties for modules over stacked monomial algebras
Takahiko Furuya, Nicole Snashall
In this paper we give necessary and sufficient conditions for the variety of a simple module over a (D,A)-stacked monomial algebra to be nontrivial. This class of algebras was intr…
Support varieties and the Hochschild cohomology ring modulo nilpotence
Nicole Snashall
This is a survey paper based on my talks at the 41st Symposium on Ring Theory and Representation Theory, held in Shizuoka University, Japan in September 2008, and will appear in th…
Representation theory of the Drinfel'd doubles of a family of Hopf algebras
K. Erdmann, E. L. Green, N. Snashall +1
We investigate the Drinfel'd doubles of a certain family of Hopf algebras. We determine their simple modules and their indecomposable projective modules, and we obtain…