E. Kirkman

collaborators

3 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.RA2025

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.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…

An equivalence linking CM-types A∞​ and D∞​

Homological regularities and concavities

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

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