The Rogers--Ramanujan recursion and intertwining operators

Details The Rogers--Ramanujan recursion and intertwining operators The Rogers--Ramanujan recursion and intertwining operators

2002-11-17

arxiv.org/abs/math/0211265v2

Comm. Contemporary Math. (5) (2003), 947-966

Mathematics

Quantum Algebra

minor changes

Scientific paper

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.

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