Melzer's identities revisited
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Combinatorics
Abstract
We further develop the finite length path generating transforms introduced previously, and use them to obtain constant sign polynomial expressions that reduce, in the limit of infinite path lengths, to parafermion and ABF Virasoro characters. This provides us, in the ABF case, with combinatorial proofs of Melzer's boson-fermion polynomial identities.
Cite
@article{arxiv.math/9811156,
title = {Melzer's identities revisited},
author = {Omar Foda and Trevor A. Welsh},
journal= {arXiv preprint arXiv:math/9811156},
year = {2007}
}
Comments
Requires LaTexe2, 'Contemporary Mathematics' AMS macro which is included. 27 pages. Includes a number of eps figures