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 with Ruijsenaars' operators through a formula of Wronski type.

13 pages (Some typos were corrected.)

References in corpus (3)

• Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
• A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators
• Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type III. The Heun Case

Cited by in corpus (4)

• Symplectic Duality of $T^{\ast }Gr(k,n)$
• Higher order deformed elliptic Ruijsenaars operators
• Wreath Macdonald operators
• From Kajihara's transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators