论文标题
Coxeter Persutahedra的算术
The Arithmetic of Coxeter Permutahedra
论文作者
论文摘要
Ehrhart理论通过计算其扩张P，2p，3p，....我们计算标准Coxeter Permutahedra的Ehrhart quasipolynomials的晶格点来分散测量多层p，从而计算经典Coxetal Coxeter组的Ehrhart quasipolynomials，并以Lambert W功能表示它们。一个中心工具是对整数Zonotope的理性翻译的Ehrhart理论的描述。
Ehrhart theory measures a polytope P discretely by counting the lattice points inside its dilates P, 2P, 3P, .... We compute the Ehrhart quasipolynomials of the standard Coxeter permutahedra for the classical Coxeter groups, expressing them in terms of the Lambert W function. A central tool is a description of the Ehrhart theory of a rational translate of an integer zonotope.
