2021
DOI: 10.1007/s11005-021-01435-9
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An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type A

Abstract: We introduce a new infinite family of higher-order difference operators that commute with the elliptic Ruijsenaars difference operators of type A. These operators are related to Ruijsenaars’ operators through a formula of Wronski type.

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Cited by 4 publications
(2 citation statements)
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“…For X and X ! in this paper, we are led to introduce a family of q-difference operators commuting with the Macdonald difference operators, closely related to those studied in [14] and [15]. Once the fundamental property of the difference operators is known, the remainder of the proof can be completed by direct computation.…”
Section: 1mentioning
confidence: 99%
See 1 more Smart Citation
“…For X and X ! in this paper, we are led to introduce a family of q-difference operators commuting with the Macdonald difference operators, closely related to those studied in [14] and [15]. Once the fundamental property of the difference operators is known, the remainder of the proof can be completed by direct computation.…”
Section: 1mentioning
confidence: 99%
“…In particular, Ole Warnaar brought the paper [15] to our attention. We are grateful to Masatoshi Noumi for sharing the unpublished work [14] with us.…”
Section: Acknowledgementsmentioning
confidence: 99%