Support varieties - an axiomatic approach

2017/10/24 by Buan, Aslak Bakke, Krause, Henning, Snashall, Nicole +1 · 1 citation
#Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1710.08685

Abstract

We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated by examples, taken in particular from representation theory of finite dimensional algebras.

Cited by

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

Related

• Support varieties - an ideal approach
• Support theory via actions of tensor triangulated categories
• Support varieties for finite tensor categories: Complexity, realization,\n and connectedness
• Support varieties without the tensor product property
• Support varieties for finite tensor categories: the tensor product property