19 citations · 70 across the 21 of their papers we have counts for
19 papers
On a Generalized Two-Fluid Hele-Shaw Flow
Vladimir Entov, Pavel Etingof
We propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in parti…
Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups
Pavel Etingof, Eric Rains
We introduce a central extension of the preprojective algebra of a finite Dynkin quiver (depending on a regular weight for the corresponding root system), whose natural deformed ve…
Noncommutative Geometry and Quiver algebras
William Crawley-Boevey, Pavel Etingof, Victor Ginzburg
We develop a new framework for noncommutative differential geometry based on double derivations. This leads to the notion of moment map and of Hamiltonian reduction in noncommutati…
Liftings of graded quasi-Hopf algebras with radical of prime codimension
Pavel Etingof, Shlomo Gelaki
Let p be a prime, and let RG(p) denote the set of equivalence classes of radically graded finite dimensional quasi-Hopf algebras over C, whose radical has codimension p. The purpos…
Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology
Vasiliy Dolgushev, Pavel Etingof
We prove the additive version of the conjecture proposed by Ginzburg and Kaledin. This conjecture states that if X/G is an orbifold modeled on a quotient of a smooth affine symplec…
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…