30 citations · 44 across the 10 of their papers we have counts for
11 papers · 1 filter
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…
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…
The orthogonality and qKZB-heat equation for traces of U_q(g)-intertwiners
Pavel Etingof, Alexander Varchenko
In our previous paper math.QA/9907181, to every finite dimensional representation V of the quantum group U_q(g), we attached the trace function F^V(λ,μ), with values in End V[0], o…
Traces of intertwiners for quantum groups and difference equations, II
Pavel Etingof, Olivier Schiffmann, Alexander Varchenko
In this paper we study twisted traces of products of intertwining operators for quantum affine algebras. They are interesting special functions, depending on two weights lambda, mu…