The Rogers--Ramanujan recursion and intertwining operators

Stefano Capparelli; James Lepowsky; Antun Milas

The Rogers--Ramanujan recursion and intertwining operators

量子代数 2007-05-23 v2 高能物理 - 理论组合数学表示论

作者: Stefano Capparelli , James Lepowsky , Antun Milas

摘要

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

关键词

ramanujan identities and series

引用

@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}
}

备注

minor changes

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