The Rogers-Ramanujan recursion and intertwining operators

S. Capparelli, J. Lepowsky, A. Milas

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


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

Original languageEnglish (US)
Pages (from-to)947-966
Number of pages20
JournalCommunications in Contemporary Mathematics
Issue number6
StatePublished - Dec 2003

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


  • Affine Lie algebras
  • Partitions
  • Vertex operator algebras
  • Vertex operators


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