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.

Spherical subcategories in representation theory

Hochenegger A.;
2019-01-01

Abstract

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.
2019
Cluster-tilting
Derived invariant
Finite-dimensional algebra
Quiver
Spherelike object
Spherelike poset
Spherical object
Spherical subcategory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1142305
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