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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. © Springer-Verlag 2007.

Registro:

Documento: Artículo
Título:N-complexes as functors, amplitude cohomology and fusion rules
Autor:Cibils, C.; Solotar, A.; Wisbauer, R.
Filiación:Institut de Mathématiques et de Modélisation de Montpellier I3M, UMR 5149, Université de Montpellier 2, F-34095 Montpellier Cedex 5, France
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, 1428 Buenos Aires, Argentina
Mathematical Institute, Heinrich-Heine-University, Universitaetsstrasse 1, D-40225 Duesseldorf, Germany
Año:2007
Volumen:272
Número:3
Página de inicio:837
Página de fin:849
DOI: http://dx.doi.org/10.1007/s00220-007-0210-x
Título revista:Communications in Mathematical Physics
Título revista abreviado:Commun. Math. Phys.
ISSN:00103616
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00103616_v272_n3_p837_Cibils

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Citas:

---------- APA ----------
Cibils, C., Solotar, A. & Wisbauer, R. (2007) . N-complexes as functors, amplitude cohomology and fusion rules. Communications in Mathematical Physics, 272(3), 837-849.
http://dx.doi.org/10.1007/s00220-007-0210-x
---------- CHICAGO ----------
Cibils, C., Solotar, A., Wisbauer, R. "N-complexes as functors, amplitude cohomology and fusion rules" . Communications in Mathematical Physics 272, no. 3 (2007) : 837-849.
http://dx.doi.org/10.1007/s00220-007-0210-x
---------- MLA ----------
Cibils, C., Solotar, A., Wisbauer, R. "N-complexes as functors, amplitude cohomology and fusion rules" . Communications in Mathematical Physics, vol. 272, no. 3, 2007, pp. 837-849.
http://dx.doi.org/10.1007/s00220-007-0210-x
---------- VANCOUVER ----------
Cibils, C., Solotar, A., Wisbauer, R. N-complexes as functors, amplitude cohomology and fusion rules. Commun. Math. Phys. 2007;272(3):837-849.
http://dx.doi.org/10.1007/s00220-007-0210-x