13 citations · 47 across the 12 of their papers we have counts for
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Affine Macdonald conjectures and special values of Felder-Varchenko functions
Eric M. Rains, Yi Sun, Alexander Varchenko
We refine the statement of the denominator and evaluation conjectures for affine Macdonald polynomials proposed by Etingof-Kirillov Jr. and prove the first non-trivial cases of the…
The polynomial representation of the type rational Cherednik algebra in characteristic
Sheela Devadas, Yi Sun
We study the polynomial representation of the rational Cherednik algebra of type with generic parameter in characteristic for . We give explicit formulas fo…
A representation-theoretic proof of the branching rule for Macdonald polynomials
Yi Sun
We give a new representation-theoretic proof of the branching rule for Macdonald polynomials using the Etingof-Kirillov Jr. expression for Macdonald polynomials as traces of intert…
A new integral formula for Heckman-Opdam hypergeometric functions
Yi Sun
We provide Harish-Chandra type formulas for the multivariate Bessel functions and Heckman-Opdam hypergeometric functions as representation-valued integrals over dressing orbits. Ou…
Finite dimensional representations of the rational Cherednik algebra for
Yi Sun
In this paper, we study representations of the rational Cherednik algebra associated to the complex reflection group . In particular, we classify the irreducible finite dimens…