23 citations · 94 across the 25 of their papers we have counts for
28 papers · 1 filter
Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry
Peter Goetz, Ellen E. Kirkman, W. Frank Moore +1
Let be a group coacting on an Artin-Schelter regular algebra homogeneously and inner-faithfully. When the identity component is also Artin-Schelter regular, providing…
Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras
Ellen Kirkman, W. Frank Moore, Tolulope Oke
For a finite group and an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras on which the Drinfeld double acts inn…
Weighted homological regularities
Ellen Kirkman, Robert Won, James J. Zhang
Let be a noetherian connected graded algebra. We introduce and study homological invariants that are weighted sums of the homological and internal degrees of cochain complexes…
Homological regularities and concavities
Ellen Kirkman, Robert Won, James J. Zhang
This paper concerns homological notions of regularity for noncommutative algebras. Properties of an algebra are reflected in the regularities of certain (complexes of) -modu…
Tensor Representations for the Drinfeld Double of the Taft Algebra
Georgia Benkart, Rekha Biswal, Ellen Kirkman +2
Over an algebraically closed field of characteristic zero, the Drinfeld double of the Taft algebra that is defined using a primitive th root of unity $q \in \m…
Degree bounds for Hopf actions on Artin-Schelter regular algebras
Ellen Kirkman, Robert Won, James J. Zhang
We study semisimple Hopf algebra actions on Artin-Schelter regular algebras and prove several upper bounds on the degrees of the minimal generators of the invariant subring, and on…