2-generated axial algebras of Monster type (2/3,/3)

被引：5

作者：

Franchi, Clara ^{[1
]}

Mainardis, Mario ^{[2
]}

Shpectorov, Sergey ^{[3
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Garzetta 48, I-25133 Brescia, Italy

[2] Univ Udine, Dipartimento Sci Matematiche Informat & Fis, Via Sci 206, I-33100 Udine, Italy

[3] Univ Birmingham, Sch Math, Watson Bldg, Birmingham B15 2TT, England

来源：

JOURNAL OF ALGEBRA | 2023年 / 636卷

关键词：

Axial algebras; Finite simple groups; Monster group; Griess algebra; Matsuo algebras;

D O I：

10.1016/j.jalgebra.2023.08.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Axial algebras of Monster type (alpha, beta) are a class of nonassociative algebras that includes, besides associative algebras, other important examples such as the Jordan algebras and the Griess algebra. 2-generated primitive axial algebras of Monster type (alpha, beta) naturally split into three cases: the case when alpha is an element of/ {2 beta, 4 beta}, the case alpha = 4 beta and alpha = 2 beta. In this paper we give a complete classification all 2-generated primitive axial algebras of Monster type (2 beta, beta). (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页码：123 / 170

页数：48