Affine descents and the Steinberg torus

  title={Affine descents and the Steinberg torus},
  author={Kevin Dilks and T. Kyle Petersen and John R. Stembridge},
Let W nL be an irreducible affine Weyl group with Coxeter complex Σ, where W denotes the associated finite Weyl group and L the translation subgroup. The Steinberg torus is the Boolean cell complex obtained by taking the quotient of Σ by the lattice L. We show that the ordinary and flag h-polynomials of the Steinberg torus (with the empty face deleted) are generating functions over W for a descent-like statistic first studied by Cellini. We also show that the ordinary h-polynomial has a… CONTINUE READING
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