Bilateral Bailey Lattices and Andrews-Gordon Type Identities

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Dousse, Jehanne, Jouhet, Frédéric, Konan, Isaac
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213182
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bilateral Bailey Lattices and Andrews-Gordon Type Identities. Jehanne Dousse, Frédéric Jouhet and Isaac Konan. SIGMA 21 (2025), 032, 32 pages

We show that the Bailey lattice can be extended to a bilateral version in just a few lines from the bilateral Bailey lemma, using a very simple lemma transforming bilateral Bailey pairs relative to into bilateral Bailey pairs relative to /. Using this and similar lemmas, we give bilateral versions...