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hep-th2001★ 36 cited
Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
H. Braden, A. Gorsky, A. Odesskii +1
We consider the double-elliptic generalisation of dynamical systems of Calogero-Toda-Ruijsenaars type using finite-dimensional Mukai-Sklyanin algebras. The two-body system, which i…
hep-th2001★ 5 cited
New relations in the algebra of the Baxter Q-operators
A. A. Belavin, A. V. Odesskii, R. A. Usmanov
We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In roots of unity the Baxter Q-operator c…