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

Ivica Siladic

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

量子代数 2007-05-23 v2 组合数学

作者: Ivica Siladic

摘要

The 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 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.

关键词

twisted k-theory highest weight modules lie algebras and modules

引用

@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}
}

备注

28 pages, AMSTeX

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