E. Kirkman

activity

20072025

most citedOn the discriminant of twisted tensor products

23 citations · 94 across the 25 of their papers we have counts for

collaborators

29 papers

math.RT2025

An equivalence linking CM-types $A_{\infty}$ and $D_{\infty}$

Charley Cummings, Sira Gratz, Ellen Kirkman +3

We show that, for a specific grading, the stable categories of graded maximal Cohen-Macaulay modules over hypersurfaces of type $A_{\infty}$ and $D_{\infty}$ are equivalent.

math.RA2024

Some Artin-Schelter Regular Algebras From Dual Reflection Groups and their Geometry

Peter Goetz, Ellen E. Kirkman, W. Frank Moore +1

Let $G$ be a group coacting on an Artin-Schelter regular algebra $A$ homogeneously and inner-faithfully. When the identity component $A_{e}$ is also Artin-Schelter regular, providing…

math.RA2024

Actions of Drinfeld doubles of finite groups on Artin-Schelter regular algebras

Ellen Kirkman, W. Frank Moore, Tolulope Oke

For a finite group $G$ and $k$ an algebraically closed field of characteristic zero we consider Artin-Schelter regular algebras $A$ on which the Drinfeld double $D (G)$ acts inn…

math.RA2022

Weighted homological regularities

Ellen Kirkman, Robert Won, James J. Zhang

Let $A$ 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…

math.RA2021

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 $A$ are reflected in the regularities of certain (complexes of) $A$ -modu…

math.RA2020★ 1 cited

Tensor Representations for the Drinfeld Double of the Taft Algebra

Georgia Benkart, Rekha Biswal, Ellen Kirkman +2

Over an algebraically closed field $k$ of characteristic zero, the Drinfeld double $D_{n}$ of the Taft algebra that is defined using a primitive $n$ th root of unity $q \in \m…