11 citations · 26 across the 6 of their papers we have counts for
6 papers
-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…
R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of type
M. Matushko, A. Mostovskii, A. Zotov
We consider the elliptic Calogero-Inozemtsev system of type with five arbitrary constants and propose -matrix valued generalization for Takasaki's Lax…
Supersymmetric generalization of q-deformed long-range spin chains of Haldane-Shastry type and trigonometric GL(N|M) solution of associative Yang-Baxter equation
M. Matushko, A. Zotov
We propose commuting sets of matrix-valued difference operators in terms of trigonometric -valued -matrices thus providing quantum supersymmetric (and possibly an…
On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators
M. Matushko, A. Zotov
We propose and prove a set of identities for elliptic -matrix (in the fundamental representation). In the scalar case () these are elliptic function identities…
Elliptic generalization of integrable q-deformed anisotropic Haldane-Shastry long-range spin chain
M. Matushko, A. Zotov
We describe integrable elliptic q-deformed anisotropic long-range spin chain. The derivation is based on our recent construction for commuting anisotropic elliptic spin Ruijsenaars…
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…