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Elliptic integrable systems and associative Yang-Baxter equation A. V. Zotov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow |
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Abstract: We will briefly review the classical elliptic integrable models and related Painleve equations. Next, we will describe R-matrix-valued (noncommutative) extension of the elliptic Kronecker and Eisenstein functions. Possible applications of these generalizations to integrable systems are discussed as well. |