Data di Pubblicazione:
2019
Citazione:
Spherical subcategories in representation theory / A. Hochenegger, M. Kalck, D. Ploog. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 291:1-2(2019), pp. 113-147. [10.1007/s00209-018-2075-4]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
spherical object; spherelike object; spherical subcategory; spherelike poset; derived invariant; cluster-tilting finite-dimensional algebra; quiver
Elenco autori:
A. Hochenegger, M. Kalck, D. Ploog
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