Publications of the Research Institute for Mathematical Sciences


Full-Text PDF (549 KB) | Metadata | Table of Contents | PRIMS summary
Volume 50, Issue 3, 2014, pp. 411–455
DOI: 10.4171/PRIMS/139

Published online: 2014-09-17

Elliptic Ding–Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator

Yosuke Saito[1]

(1) Tohoku University, Sendai, Japan

The Ding–Iohara algebra is a quantum algebra arising from the free fi eld realization of the Macdonald operator. Starting from the elliptic kernel function introduced by Komori, Noumi and Shiraishi, we de fine an elliptic analog of the Ding–Iohara algebra. The free fi eld 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