Matrix Bailey Lemma and the Star-Triangle Relation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Magadov, K.Yu., Spiridonov, V.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209883
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Matrix Bailey Lemma and the Star-Triangle Relation / K.Yu. Magadov, V.P. Spiridonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ.

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 conseque...