24 citations · 67 across the 18 of their papers we have counts for
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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…
Transformations of elliptic hypergometric integrals
Eric M. Rains
We prove a pair of transformations relating elliptic hypergeometric integrals of different dimensions, corresponding to the root systems BC_n and A_n; as a special case, we recover…
BC_n-symmetric polynomials
Eric M. Rains
We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation polynomials and Koornwinder's orthogonal polynomials. We give a family of differen…