The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators

Details The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators

2003-10-06

arxiv.org/abs/math/0310080v2

RamanujanJ.12:379-397,2006

Mathematics

Quantum Algebra

22 pages, LaTeX

Scientific paper

Using the theory of intertwining operators for vertex operator algebras we show that the graded dimensions of the principal subspaces associated to the standard modules for $\hat{\goth{sl}(2)}$ satisfy certain classical recursion formulas of Rogers and Selberg. These recursions were exploited by Andrews in connection with Gordon's generalization of the Rogers--Ramanujan identities and with Andrews' related identities. The present work generalizes the authors' previous work on intertwining operators and the Rogers--Ramanujan recursion.

Affiliated with

Also associated with

No associations

Rating

The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators 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 The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-344962