N-complexes as functors, amplitude cohomology and fusion rules

Details N-complexes as functors, amplitude cohomology and fusion rules N-complexes as functors, amplitude cohomology and fusion rules

2006-05-21

arxiv.org/abs/math/0605569v3

Communications in Mathematical Physics 272, 3 (05/03/2007) 837--649

Mathematics

Quantum Algebra

Final version

Scientific paper

10.1007/s00220-007-0210-x

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 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.

Affiliated with

Also associated with

No associations

Rating

N-complexes as functors, amplitude cohomology and fusion rules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with N-complexes as functors, amplitude cohomology and fusion rules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and N-complexes as functors, amplitude cohomology and fusion rules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-630877