483 citations · 1.7k across the 181 of their papers we have counts for
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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…
Casimirs of the Goldman Lie algebra of a closed surface
Pavel Etingof
In 1986 Goldman introduced a Lie algebra structure on the linear span L of conjugacy classes of the fundamental group of a closed oriented surface. It is easy to see that the class…
Cherednik and Hecke algebras of varieties with a finite group action
Pavel Etingof
This paper is an expanded and updated version of the preprint arXiv:math/0406499. It includes a more detailed description of the basics of the theory of Cherednik and Hecke algebra…
An analogue of Radford's S^4 formula for finite tensor categories
Pavel Etingof, Dmitri Nikshych, Viktor Ostrik
We develop the theory of Hopf bimodules for a finite rigid tensor category C. Then we use this theory to define a distinguished invertible object D of C and an isomorphism of tenso…