QUADRATIC ALGEBRAS BASED ON SL(NM) ELLIPTIC QUANTUM R-MATRICES

We construct a quadratic quantum algebra based on the dynamical RLL-relation for the quantum R-matrix related to SL(NM)-bundles with a nontrivial characteristic class over an elliptic curve. This R-matrix simultaneously generalizes the elliptic nondynamical Baxter-Belavin and the dynamical Felder R-matrices, and the obtained quadratic relations generalize both the Sklyanin algebra and the relations in the Felder-Tarasov-Varchenko elliptic quantum group, which are reproduced in the respective particular cases M = 1 and N = 1.