Semi-Infinite Wedges and Vertex Operators
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
The level 1 highest weight modules of the quantum affine algebra can be described as spaces of certain semi-infinite wedges. Using a -antisymmetrization procedure, these semi-infinite wedges can be realized inside an infinite tensor product of evaluation modules. This realization gives rise to simple descriptions of vertex operators and (up to a scalar function) their compositions.
Cite
@article{arxiv.q-alg/9504013,
title = {Semi-Infinite Wedges and Vertex Operators},
author = {Eugene Stern},
journal= {arXiv preprint arXiv:q-alg/9504013},
year = {2008}
}
Comments
17 pages