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math.RT2009★ 1 cited
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…
math.RT2009★ 2 cited
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…