Derived equivalence of symmetric special biserial algebras

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dc.creatorAntipov, Mikhail
dc.date2007-01-21
dc.date.accessioned2026-07-07T07:42:21Z
dc.date.available2026-07-07T07:42:21Z
dc.descriptionWe introduce Brauer complex of symmetric SB-algebra, and reformulate in terms of Brauer complex the so far known invariants of stable and derived equivalence of symmetric SB-algebras. In particular, the genus of Brauer complex turns out to be invariant under derived equivalence. We study transformations of Brauer complexes which preserve class of derived equivalence. Additionally, we establish a new invariant of derived equivalence of symmetric SB-algebras. As a consequence, symmetric SB-algebras with Brauer complex of genus 0 are classified. Keywords: Brauer tree algebras, special biserial algebras, tilting complex.
dc.description19 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/math/0701586
dc.identifierhttp://arxiv.org/abs/math/0701586
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122415
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleDerived equivalence of symmetric special biserial algebras
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