19 citations · 70 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
Quantization of some Poisson-Lie dynamical r-matrices and Poisson homogeneous spaces
B. Enriquez, P. Etingof, I. Marshall
Poisson-Lie (PL) dynamical r-matrices are generalizations of dynamical r-matrices, where the base is a Poisson-Lie group. We prove analogues of basic results for these r-matrices,…