13 citations · 29 across the 3 of their papers we have counts for
3 papers
math.QA2013★ 6 cited
Elliptic Ding-Iohara Algebra and Commutative Families of the Elliptic Macdonald Operator
Yosuke Saito
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…
math.QA2013★ 10 cited
Commutative Families of the Elliptic Macdonald Operator
Yosuke Saito
In the paper [J. Math. Phys. 50 (2009), 095215, 42 pages, arXiv:0904.2291], Feigin, Hashizume, Hoshino, Shiraishi, and Yanagida constructed two families of commuting operators whic…
math.QA2013★ 13 cited
Elliptic Ding-Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator
Yosuke Saito
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, Nou…