Alcoved Polytopes II
Combinatorics
2012-02-20 v1
Abstract
This is the second of two papers where we study polytopes arising from affine Coxeter arrangements. Our results include a formula for their volumes, and also compatible definitions of hypersimplices, descent numbers and major index for all Weyl groups. We give a q-analogue of Weyl's formula for the order of the Weyl group. For A_n, C_n and D_4, we give a Grobner basis which induces the triangulation of alcoved polytopes.
Cite
@article{arxiv.1202.4015,
title = {Alcoved Polytopes II},
author = {Thomas Lam and Alexander Postnikov},
journal= {arXiv preprint arXiv:1202.4015},
year = {2012}
}
Comments
17 pages