A. Zotov

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math-ph2026★ 2 cited

Classical elliptic $BC_{1}$ Ruijsenaars-van Diejen model: relation to Zhukovsky-Volterra gyrostat and 1-site classical XYZ model with boundaries

A. Mostovskii, A. Zotov

We present a description of the classical elliptic $BC_{1}$ Ruijsenaars-van Diejen model with 8 independent coupling constants through a pair of $BC_{1}$ type classical Skl…

math-ph2026★ 1 cited

R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of $BC_{n}$ type

M. Matushko, A. Mostovskii, A. Zotov

We consider the elliptic Calogero-Inozemtsev system of $BC_{n}$ type with five arbitrary constants and propose $R$ -matrix valued generalization for $2 n \times 2 n$ Takasaki's Lax…

math-ph2024

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 $GL (N ∣ M)$ -valued $R$ -matrices thus providing quantum supersymmetric (and possibly an…

Classical elliptic BC1​ Ruijsenaars-van Diejen model: relation to Zhukovsky-Volterra gyrostat and 1-site classical XYZ model with boundaries

R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of BCn​ type

Supersymmetric generalization of q-deformed long-range spin chains of Haldane-Shastry type and trigonometric GL(N|M) solution of associative Yang-Baxter equation

Classical elliptic $BC_{1}$ Ruijsenaars-van Diejen model: relation to Zhukovsky-Volterra gyrostat and 1-site classical XYZ model with boundaries

R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of $BC_{n}$ type