N-complexes as functors, amplitude cohomology and fusion rules

Simple item page
dc.creatorCibils, Claude
dc.creatorSolotar, Andrea
dc.creatorWisbauer, Robert
dc.date2006-05-21
dc.date2006-10-01
dc.date.accessioned2026-07-07T08:10:20Z
dc.date.available2026-07-07T08:10:20Z
dc.descriptionWe consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology only vanishes on injective functors providing a well defined functor on the stable category. For left truncated N-complexes, we show that amplitude cohomology discriminates the isomorphism class up to a projective functor summand. Moreover amplitude cohomology of positive N-complexes is proved to be isomorphic to an Ext functor of an indecomposable N-complex inside the abelian functor category. Finally we show that for the monoidal structure of N-complexes a Clebsch-Gordan formula holds, in other words the fusion rules for N-complexes can be determined.
dc.descriptionFinal version
dc.identifierhttps://arxiv.org/abs/math/0605569
dc.identifierhttp://arxiv.org/abs/math/0605569
dc.identifierCommunications in Mathematical Physics 272, 3 (05/03/2007) 837--649
dc.identifierdoi:10.1007/s00220-007-0210-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131795
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16E05, 16W50, 18E10
dc.titleN-complexes as functors, amplitude cohomology and fusion rules
dc.typetext

Files

Collections

arXiv