Elliptic Ding-Iohara Algebra and Commutative Families of the Elliptic Macdonald Operator (1309.7094v2)

Published 27 Sep 2013 in math.QA

Abstract: The elliptic Ding-Iohara algebra is an elliptic quantum group obtained from the free field realization of the elliptic Macdonald operator. In this article, we show the construction of two families of commuting operators which contain the elliptic Macdonald operator by using the elliptic Ding-Iohara algebra and the elliptic Feigin-Odesskii algebra.

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Authors (1)

Yosuke Saito

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