34 citations · 160 across the 31 of their papers we have counts for
6 papers · 1 filter
Batalin-Vilkovisky coalgebra of string topology
Xiaojun Chen, Wee Liang Gan
We show that the reduced Hochschild homology of a DG open Frobenius algebra has the natural structure of a Batalin-Vilkovisky coalgebra, and the reduced cyclic homology has the nat…
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…
On a theorem of Conant-Vogtmann
Wee Liang Gan
We prove that the graph complex is a strong homotopy Lie (super) bialgebra.
Deformed preprojective algebras and symplectic reflection algebras for wreath products
Wee Liang Gan, Victor Ginzburg
We determine the PBW deformations of the wreath product of a symmetric group with a deformed preprojective algebra of an affine Dynkin quiver. In particular, we show that there is…
Koszul duality for dioperads
Wee Liang Gan
We introduce the notion of a dioperad to describe certain operations with multiple inputs and multiple outputs. The framework of Koszul duality for operads is generalized to dioper…