Feigin, M. and Vrabec, M. (2022) Bispectrality of AG2 Calogero–Moser–Sutherland system. Mathematical Physics, Analysis and Geometry, 25(4), 29. (doi: 10.1007/s11040-022-09440-7)
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Abstract
We consider the generalised Calogero–Moser–Sutherland quantum integrable system associated to the configuration of vectors AG2, which is a union of the root systems A2 and G2. We establish the existence of and construct a suitably defined Baker–Akhiezer function for the system, and we show that it satisfies bispectrality. We also find two corresponding dual difference operators of rational Macdonald–Ruijsenaars type in an explicit form.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vrabec, Mr Martin and Feigin, Professor Misha |
| Authors: | Feigin, M., and Vrabec, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Physics, Analysis and Geometry |
| Publisher: | Springer |
| ISSN: | 1385-0172 |
| ISSN (Online): | 1572-9656 |
| Published Online: | 28 November 2022 |
| Copyright Holders: | Copyright © 2022 The Authors |
| First Published: | First published in Mathematical Physics, Analysis and Geometry 25(4): 29 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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