24 citations · 67 across the 18 of their papers we have counts for
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A difference-integral representation of Koornwinder polynomials
Eric M. Rains
We construct new families of (q-) difference and (contour) integral operators having nice actions on Koornwinder's multivariate orthogonal polynomials. We further show that the Koo…
New deformations of group algebras of Coxeter groups
Pavel Etingof, Eric Rains
We define new deformations of group algebras of Coxeter groups W and of subgroups of even elements in them, by deforming the braid relations. We show that these deformations are al…
Generalized double affine Hecke algebras of rank 1 and quantized Del Pezzo surfaces
Pavel Etingof, Alexei Oblomkov, Eric Rains
Let D be a simply laced Dynkin diagram of rank r whose affinization has the shape of a star (i.e., D4,E6,E7,E8). To such a diagram one can attach a group G whose generators corresp…
BC_n-symmetric abelian functions
Eric M. Rains
We construct a family of BC_n-symmetric biorthogonal abelian functions generalizing Koornwinder's orthogonal polynomials, and prove a number of their properties, most notably analo…