19 citations · 141 across the 38 of their papers we have counts for
5 papers · 1 filter
On Hele-Shaw problems arising as scaling limits
Pavel Etingof
We discuss conjectural scaling limits of discrete 2-dimensional aggregation models conditioned on a semi-axis considered by Levine and Peres in arXiv:0712.3378. These are certain p…
Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
Pavel Etingof, Travis Schedler
Let X be a surface with an isolated singularity at the origin, given by the equation Q(x,y,z)=0, where Q is a weighted-homogeneous polynomial. In particular, this includes the Klei…
A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
Pavel Etingof
We give a new proof of the Macdonald-Mehta-Opdam integral identity for finite Coxeter groups. This identity was conjectured by Macdonald and proved by Opdam in 1993 using the theor…
The small quantum group as a quantum double
Pavel Etingof, Shlomo Gelaki
We prove that the quantum double of the quasi-Hopf algebra A_q(g) of dimension n^{dim g} attached in arXiv:math/0403096 to a simple complex Lie algebra g and a primitive root of un…
Unitary representations of rational Cherednik algebras
Pavel Etingof, Emanuel Stoica, Stephen Griffeth
We study unitarity of lowest weight irreducible representations of rational Cherednik algebras. We prove several general results, and use them to determine which lowest weight repr…