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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.RT2007
A Vanishing Result for Toric Varieties Associated with Root Systems
Qëndrim R. Gashi
Consider a root system and the corresponding toric variety whose fan is the Weyl fan and whose lattice of characters is given by the root lattice for . We prove the va…