Grobner-Shirshov bases for non-crystallographic Coxeter groups

被引：3

作者：

Lee, Jeong-Yup ^{[1
]}

Lee, Dong-Il ^{[2
]}

机构：

[1] Catholic Kwandong Univ, Dept Math Educ, Kangnung 25601, South Korea

[2] Seoul Womens Univ, Dept Math, Seoul 01797, South Korea

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2019年 / 75卷

关键词：

Coxeter groups; Grobner-Shirshov basis; standard monomials;

D O I：

10.1107/S2053273319002092

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

For the group algebra of the finite non-crystallographic Coxeter group of type H-4, its Grobner-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.

引用

页码：584 / 592

页数：9

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