THE ROGERS–RAMANUJAN RECURSION AND INTERTWINING OPERATORS

S. CAPPARELLI, J. LEPOWSKY, A. MILAS

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Source: Crossref

Published: Dec 1, 2003

DOI: 10.1142/s0219199703001191

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Source 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.

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