R-matrix valued Lax pair for elliptic Calogero-Inozemtsev system and associative Yang-Baxter equations of ${\mathrm{BC}}_n$ type

M. Matushko, A. Mostovskii, A. Zotov

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