Publications of the Research Institute for Mathematical Sciences
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Published online: 2014-09-17
Elliptic Ding–Iohara Algebra and the Free Field Realization of the Elliptic Macdonald OperatorYosuke Saito (1) Tohoku University, Sendai, Japan
The Ding–Iohara algebra is a quantum algebra arising from the free field realization of the Macdonald operator. Starting from the elliptic kernel function introduced by Komori, Noumi and Shiraishi, we define an elliptic analog of the Ding–Iohara algebra. The free field realization of the elliptic Macdonald operator is also constructed.
Keywords: Ding–Iohara algebra, free field realization, elliptic Macdonald operator
Saito Yosuke: Elliptic Ding–Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator. Publ. Res. Inst. Math. Sci. 50 (2014), 411-455. doi: 10.4171/PRIMS/139