For the group algebra of the finite non-crystallographic Coxeter group of type H 4, its Gröbner–Shirshov basis is constructed as well as the corresponding standard monomials, which describe explicitly all symmetries acting on the 120-cell and produce a natural operation table between the 14400 elements for the group.

中文翻译：

---

非晶体 Coxeter 群的 Gröbner–Shirshov 碱

对于有限非晶体 Coxeter 群的群代数H 4，构建了其 Gröbner-Shirshov 基以及相应的标准单项式，它们明确描述了作用于 120 个单元的所有对称性，并在该群的 14400 个元素之间生成了一个自然运算表。