Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space

Details Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space

2012-01-06

arxiv.org/abs/1201.1337v1

Mathematics

Rings and Algebras

Scientific paper

We show that the support of a simple weight module over the Neveu-Schwarz algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all non-trivial weight spaces of such module are infinite-dimensional. As a corollary we obtain that every simple weight module over the Neveu-Schwarz algebra, having a non-trivial finite-dimensional weight space, is a Harish-Chandra module (and hence is either a highest or lowest weight module, or else a module of the intermediate series). This result generalizes a theorem which was originally given on the Virasoro algebra.

Affiliated with

Also associated with

No associations

Rating

Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space 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 Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-661523