THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS-Reference-Cited by-同舟云学术

THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

Published:2003-12 Issue:06 Volume:05 Page:947-966
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

CAPPARELLI S.¹,LEPOWSKY J.²,MILAS A.³

Affiliation:

1. Dipartimento Me. Mo. Mat., Università di Roma "La Sapienza," Via A. Scarpa 16, 00161 Roma, Italia

2. Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA

3. Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA

Abstract

We use vertex operator algebras and intertwining operators to study certain substructures of standard [Formula: see text]-modules, allowing us to conceptually obtain the classical Rogers–Ramanujan recursion. As a consequence we recover Feigin–Stoyanovsky's character formulas for the principal subspaces of the level 1 standard [Formula: see text]-modules.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199703001191

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