Twisted \mathfraksl(3,\C)\sptilde-modules and combinatorial identities

2002/04/03 by Ivica Siladic, Siladic, Ivica · 1 citation
Mathematics · #05A19 #17B67 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A19 #msc:17B67

paper · pdf · doi:10.48550/arxiv.math/0204042

28 pages, AMSTeX

arxiv created 2002/04/04 · arxiv updated 2009/11/30

Abstract

The main result of this paper is a combinatorial description of a basis of standard level 1 module for the twisted affine Lie algebra A₂⁽²⁾. This description also gives two new combinatorial identities of Göllnitz (or Rogers--Ramanujan) type. Methods used through the paper are mainly developed by J. Lepowsky, R. L. Wilson, A. Meurman and M. Primc, and the crucial role in constructions plays a vertex operator algebra approach to standard representations of affine Lie algebras.

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