On a Functional Equation of Ruijsenaars
نویسنده
چکیده
We obtain the general solution of the functional equation ∑ I⊆{1,2,... ,n} |I|=k ( ∏ i∈I j 6∈I h(xj − xi)h(xi − xj − iβ) − ∏ i∈I j 6∈I h(xi − xj)h(xj − xi − iβ) ) = 0. This equation, introduced by Ruijsenaars, guarantees the commutativity of n operators associated with the quantum Ruijsenaars-Schneider models. 2000 AMS Subject Classification: Primary 39B32 30D05 33E05
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