Portal de Periódicos da CAPES

Support varieties—an axiomatic approach

2019; Springer Science+Business Media; Volume: 295; Issue: 1-2 Linguagem: Inglês

10.1007/s00209-019-02343-4

1432-1823

Aslak Bakke Buan, Henning Krause, Nicole Snashall, Øyvind Solberg,

Homotopy and Cohomology in Algebraic Topology

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 the representation theory of finite dimensional algebras.