Twisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identities

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63707The main result of this paper is a combinatorial description of a basis of standard level 1 module for the twisted affine Lie algebra $A_2^{(2)}.$ 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.28 pages, AMSTeXQuantum AlgebraCombinatorics17B67; 05A19Twisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identitiestext