English

Faces of root polytopes

Combinatorics 2021-07-07 v2

Abstract

We completely characterize the faces of the root polytope Q~G=conv{0,eiej(i,j)E(G)}\tilde Q_G = \text{conv}\{\mathbf 0, \mathbf e_i - \mathbf e_j\: (i,j) \in E(G)\} combinatorially. Our results specialize to state of the art results in a straightforward way.

Keywords

Cite

@article{arxiv.2001.05191,
  title  = {Faces of root polytopes},
  author = {Linus Setiabrata},
  journal= {arXiv preprint arXiv:2001.05191},
  year   = {2021}
}

Comments

18 pages, 8 figures. v2: corrected proof of lemma 3.19

R2 v1 2026-06-23T13:11:41.667Z