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

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

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...

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Veröffentlicht in:Publications of the Research Institute for Mathematical Sciences 2014-01, Vol.50 (3), p.411-455
1. Verfasser: Saito, Yosuke
Format: Artikel
Sprache:eng
Schlagworte:
Nonassociative rings and algebras
Special functions
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Zusammenfassung: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.
ISSN:0034-5318
1663-4926
DOI:10.4171/PRIMS/139