论文标题
组的birkhoff polytope $ \ mathsf {f} _4 $和$ \ mathsf {h} _4 $
The Birkhoff polytope of the groups $\mathsf{F}_4$ and $\mathsf{H}_4$
论文作者
论文摘要
我们计算了多层室的一组，即Coxeter组的凸壳$ \ Mathsf {f} _4 $或$ \ \ \ \ \ \ m athsf {h} _4 $：对于组$ \ mathsf {f} _4 $我们建立的$ 2 $ orbits facets of Facets of Facets facets faceTict facte confradicts practects fircite fir ciite c。对于$ \ mathsf {h} _4 $，我们找到了$ 1063 $ orbits facets，这为\ cite {birkhoff}的猜想提供了反例。
We compute the set of facets of the polytope which is the convex hull of the Coxeter groups $\mathsf{F}_4$ or $\mathsf{H}_4$: For the group $\mathsf{F}_4$ we found $2$ orbits of facets which contradicts previous results published in \cite{birkhoff}. For the group $\mathsf{H}_4$ we found $1063$ orbits of facets which provides a counterexample to the conjecture of \cite{birkhoff}.
