Bispectrality of AG2 Calogero-Moser-Sutherland system
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.
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