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

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
Settore MAT/02 - Algebra
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/11384/95426
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