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arXiv · 1810.10806

Matrix Bailey Lemma and the Star-Triangle Relation

Kamil Yu. Magadov·Vyacheslav P. Spiridonov
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Abstract

We compare previously found finite-dimensional matrix and integral operator realizations of the Bailey lemma employing univariate elliptic hypergeometric functions. With the help of residue calculus we explicitly show how the integral Bailey lemma can be reduced to its matrix version. As a consequence, we demonstrate that the matrix Bailey lemma can be interpreted as a star-triangle relation, or as a Coxeter relation for a permutation group.

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Kamil Yu. Magadov, Vyacheslav P. Spiridonov. 2018-10-25. Matrix Bailey Lemma and the Star-Triangle Relation. https://doi.org/10.3842/sigma.2018.121

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