Twisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identities
Quantum Algebra
2007-05-23 v2 Combinatorics
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 This description also gives two new combinatorial identities of G\"ollnitz (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.
Cite
@article{arxiv.math/0204042,
title = {Twisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identities},
author = {Ivica Siladic},
journal= {arXiv preprint arXiv:math/0204042},
year = {2007}
}
Comments
28 pages, AMSTeX