Thick Subcategories of the stable category of modules over the exterior algebra

TL;DR

This paper investigates the structure of thick subcategories within the stable module category over an exterior algebra, focusing on those generated by modules of complexity one, to better understand their classification.

Contribution

It provides a classification of thick subcategories generated by modules of complexity one in the stable category of modules over the exterior algebra.

Findings

Characterization of thick subcategories of complexity one

Identification of structural properties of modules in these subcategories

Advancement in understanding the stable category of exterior algebra modules

Abstract

We study thick subcategories defined by modules of complexity one in $\underline{\md}R$, where $R$ is the exterior algebra in $n+1$ indeterminates.