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math.QA2025
-matrix Dunkl operators and spin Calogero-Moser system
Oleg Chalykh, Maria Matushko
We construct a quantum integrable model which is an -matrix generalization of the Calogero-Moser system, based on the Baxter-Belavin elliptic -matrix. This is achieved by int…
math.QA2022★ 11 cited
Anisotropic spin generalization of elliptic Macdonald-Ruijsenaars operators and R-matrix identities
M. Matushko, A. Zotov
We propose commuting set of matrix-valued difference operators in terms of the elliptic Baxter-Belavin -matrix in the fundamental representation of . In the scalar c…