128 citations · 414 across the 40 of their papers we have counts for
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A Lie-theoretic construction of spherical symplectic reflection algebras
P. Etingof, S. Loktev, A. Oblomkov +1
We propose a construction of the spherical subalgebra of a symplectic reflection algebra of an arbitrary rank corresponding to a star-shaped affine Dynkin diagram. Namely, it is ob…
Generalized double affine Hecke algebras of higher rank
Pavel Etingof, Wee Liang Gan, Alexei Oblomkov
We define generalized double affine Hecke algebras (GDAHA) of higher rank, attached to a non-Dynkin star-like graph D. This generalizes GDAHA of rank 1 defined in math.QA/0406480 a…
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…
Quantization, orbifold cohomology, and Cherednik algebras
Pavel Etingof, Alexei Oblomkov
We compute the Hochschild homology of the crossed product in terms of the Hochschild homology of the associative algebra (over ). It…
Generalized Lame operators
Oleg Chalykh, Pavel Etingof, Alexei Oblomkov
We introduce a class of multidimensional Schrödinger operators with elliptic potential which generalize the classical Lamé operator to higher dimensions. One natural example is the…