1,347 research outputs found
Spherical subcategories in representation theory
We introduce a new invariant for triangulated categories: the poset of
spherical subcategories ordered by inclusion. This yields several numerical
invariants, like the cardinality and the height of the poset. We explicitly
describe spherical subcategories and their poset structure for derived
categories of certain finite-dimensional algebras.Comment: 36 pages, many changes to improve presentation, same content as
published versio
- …