12 citations · 147 across the 45 of their papers we have counts for
5 papers · 1 filter
Looping of the numbers game and the alcoved hypercube
Qëndrim R. Gashi, Travis Schedler, David E. Speyer
We study in detail the so-called looping case of Mozes's game of numbers, which concerns the (finite) orbits in the reflection representation of affine Weyl groups situated on the…
On dominance and minuscule Weyl group elements
Qëndrim R. Gashi, Travis Schedler
Fix a Dynkin diagram and let p be a coweight. When does there exist an element w of the corresponding Weyl group such that w is p-minuscule and w(p) is dominant? We answer this que…
Poisson traces and D-modules on Poisson varieties
Pavel Etingof, Travis Schedler, Ivan Losev
To every Poisson algebraic variety X over an algebraically closed field of characteristic zero, we canonically attach a right D-module M(X) on X. If X is affine, solutions of M(X)…
Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
Pavel Etingof, Travis Schedler
Let X be a surface with an isolated singularity at the origin, given by the equation Q(x,y,z)=0, where Q is a weighted-homogeneous polynomial. In particular, this includes the Klei…
Connes-Kreimer quantizations and PBW theorems for pre-Lie algebras
Travis Schedler
The Connes-Kreimer renormalization Hopf algebras are examples of a canonical quantization procedure for pre-Lie algebras. We give a simple construction of this quantization using t…