12 citations · 16 across the 3 of their papers we have counts for
7 papers
Moyal quantization of necklace Lie algebras
Victor Ginzburg, Travis Schedler
We use Moyal-type formulas to construct a Hopf algebra quantization of the necklace Lie bialgebra associated with a quiver.
A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver
Travis Schedler
V. Ginzburg, and independently R. Bocklandt and L. Le Bruyn, defined an infinite-dimensional "necklace" Lie algebra canonically associated to any quiver. Following suggestions of V…
Trigonometric solutions of the associative Yang-Baxter equation
Travis Schedler
We classify trigonometric solutions to the associative Yang-Baxter equation (AYBE) for A = Mat_n, the associative algebra of n-by-n matrices. The AYBE was first presented in a 2000…
Proof of the GGS Conjecture
Travis Schedler
We prove the GGS conjecture (1993), due to Gerstenhaber, Giaquinto, and Schack, which gives a particularly simple explicit quantization of classical r-matrices for Lie algebras gl(…
Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
Pavel Etingof, Travis Schedler, Olivier Schiffmann
We provide an explicit quantization of dynamical r-matrices for semisimple Lie algebras, classified earlier by the third author, which includes the Belavin-Drinfeld r-matrices. We…
On the GGS Conjecture
Travis Schedler
In the 1980's, Belavin and Drinfeld classified solutions r of the classical Yang-Baxter equation (CYBE) for simple Lie algebras \mathfrak g satisfying 0 \neq r + r_{21} \in (S^2 \m…