Kent B. Vashaw

activity

20242026

collaborators

7 papers

math.RT2026

Non-negligible summands in tensor powers of some modular representations of finite $p$ -groups

Kent B. Vashaw, Justin Zhang

Let $p > 0$ be a prime, $G$ be a finite $p$ -group and $k$ be an algebraically closed field of characteristic $p$ . Dave Benson has conjectured that if $p = 2$ and $V$ is an odd-dime…

math.CT2026

Formal extension of noncommutative tensor-triangular support varieties

Merrick Cai, Kent B. Vashaw

Given a support variety theory defined on the compact part of a monoidal triangulated category, we define an extension to the non-compact part following the blueprint of Benson--Ca…

math.CT2026

Noncommutative tensor triangular geometry: modules, bimodules, and unipotent Hopf algebras

Ãyvind Solberg, Kent B. Vashaw, Sarah Witherspoon

We initiate a program aimed at classifying thick ideals, Balmer spectra, and submodule categories of various stable categories of bimodules and modules for finite dimensional selfi…

math.QA2025

Quantum-symmetric equivalence for superpotential algebras

Hongdi Huang, Van C. Nguyen, Kent B. Vashaw +2

We study superpotential algebras by introducing the notion of quantum-symmetric equivalence defined relatively to two fixed Hopf coactions. This concept relies on the non-vanishing…

math.CT2025

The homological spectrum for monoidal triangulated categories

Daniel K. Nakano, Kent B. Vashaw, Milen T. Yakimov

The authors develop a notion of homological prime spectrum for an arbitrary monoidal triangulated category, $C$ . Unlike the symmetric case due to Balmer, the homological…

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…