English

The Rogers--Ramanujan recursion and intertwining operators

Quantum Algebra 2007-05-23 v2 High Energy Physics - Theory Combinatorics Representation Theory

Abstract

We use vertex operator algebras and intertwining operators to study certain substructures of standard A1(1)A_1^{(1)}--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 A1(1)A_1^{(1)}--modules.

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Cite

@article{arxiv.math/0211265,
  title  = {The Rogers--Ramanujan recursion and intertwining operators},
  author = {Stefano Capparelli and James Lepowsky and Antun Milas},
  journal= {arXiv preprint arXiv:math/0211265},
  year   = {2007}
}

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