12 citations · 147 across the 45 of their papers we have counts for
7 papers · 1 filter
Hyperplane arrangements associated to symplectic quotient singularities
Gwyn Bellamy, Travis Schedler, Ulrich Thiel
We study the hyperplane arrangements associated, via the minimal model programme, to symplectic quotient singularities. We show that this hyperplane arrangement equals the arrangem…
Filtrations on Springer fiber cohomology and Kostka polynomials
Gwyn Bellamy, Travis Schedler
We prove a conjecture which expresses the bigraded Poisson-de Rham homology of the nilpotent cone of a semisimple Lie algebra in terms of the generalized (one-variable) Kostka poly…
Ramified Satake Isomorphisms for strongly parabolic characters
Masoud Kamgarpour, Travis Schedler
For certain characters of the compact torus of a reductive -adic group, which we call strongly parabolic characters, we prove Satake-type isomorphisms. Our results generalize th…
Traces on finite W-algebras
Pavel Etingof, Travis Schedler
We compute the space of Poisson traces on a classical W-algebra modulo an arbitrary central character, i.e., linear functionals on such an algebra invariant under Hamiltonian deriv…
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…