Tuesday, July 10, 14:00, 7.527
Gabriele Bocca (University of East Anglia, Norwich),
Quasi-hereditary covers of higher zigzag algebras.
In this talk we will define and investigate some quasi-hereditary covers for
higher zigzag algebras. After recalling the definition and basic properties of
higher zigzag algebras from [Gra17], we will construct quasi-hereditary covers
for these algebras and we will show how they satisfy three different Koszul
properties: they are Koszul in the classical sense, standard Koszul and
Koszul with respect to the standard module Δ, according with the
definition given in [Mad11]. This last property gives rise to a well defined
duality and the Δ-Koszul dual will be computed as the path algebra of a
quiver with relations.
[Mad11] D. O. Madsen, On a common generalization of Koszul duality and tilting
equivalence, Advances in Mathematics (2011), vol.227, no.6, 2327-2348
[Gra17] J. Grant, Higher zigzag-algebras, ArXiv e-prints, arXiv:1711.00794v2