30 citations · 44 across the 10 of their papers we have counts for
15 papers
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…
Continuous Hecke algebras
Pavel Etingof, Wee Liang Gan, Victor Ginzburg
We study a generalization of graded Hecke algebras introduced by Drinfeld in 1986, in which the role of a finite group G is played by a reductive algebraic group. This includes con…
Instanton counting via affine Lie algebras II: from Whittaker vectors to the Seiberg-Witten prepotential
Alexander Braverman, Pavel Etingof
We introduce the notion of the (instanton part of the) Seiberg-Witten prepotential for general Schrodinger operators with periodic potential. In the case when the operator in quest…
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…
On some representations of the rational Cherednik algeba
Tatyana Chmutova, Pavel Etingof
We study lowest weight representations of the rational Cherednik algebra attached to a complex reflection group W. In particular, we generalize a number of previous results due to…