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dc.contributor.author
Cibils, Claude
dc.contributor.author
Solotar, Andrea Leonor
dc.contributor.author
Wisbauer, Robert
dc.date.available
2021-02-18T15:54:33Z
dc.date.issued
2007-06
dc.identifier.citation
Cibils, Claude; Solotar, Andrea Leonor; Wisbauer, Robert; N-complexes as functors, amplitude cohomology and fusion rules; Springer; Communications In Mathematical Physics; 272; 3; 6-2007; 837-849
dc.identifier.issn
0010-3616
dc.identifier.uri
http://hdl.handle.net/11336/125971
dc.description.abstract
We 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 (called generalized cohomology by M. Dubois-Violette) 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.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
N-complexes as functors, amplitude cohomology and fusion rules
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-09-24T14:26:53Z
dc.journal.volume
272
dc.journal.number
3
dc.journal.pagination
837-849
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Cibils, Claude. Université Montpellier II; Francia
dc.description.fil
Fil: Solotar, Andrea Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Wisbauer, Robert. Heinrich Heine University; Alemania
dc.journal.title
Communications In Mathematical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00220-007-0210-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00220-007-0210-x
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