Non-Stationary Ruijsenaars Functions for κ = t⁻¹ᐟᴺ and Intertwining Operators of Ding-Iohara-Miki Algebra

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Fukuda, Masayuki, Ohkubo, Yusuke, Shiraishi, Jun'ichi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211004
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Non-Stationary Ruijsenaars Functions for κ = t⁻¹ᐟᴺ and Intertwining Operators of Ding-Iohara-Miki Algebra. Masayuki Fukuda, Yusuke Ohkubo and Jun'ichi Shiraishi. SIGMA 16 (2020), 116, 55 pages

We construct the non-stationary Ruijsenaars functions (affine analogue of the Macdonald functions) in the special case κ=t⁻¹ᐟᴺ, using the intertwining operators of the Ding-Iohara-Miki algebra (DIM algebra) associated with -fold Fock tensor spaces. By the -duality of the intertwiners, another expres...