Melzer's identities revisited

Mathematics – Quantum Algebra

Scientific paper

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Requires LaTexe2, 'Contemporary Mathematics' AMS macro which is included. 27 pages. Includes a number of eps figures

Scientific paper

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.

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