Quasi-simple Lie groups as multiplication groups of topological loops

被引：3

作者：

Figula, Agota ^{[1
]}

机构：

[1] Debrecen Univ Med, Inst Math, H-4010 Debrecen, Hungary

来源：

ADVANCES IN GEOMETRY | 2015年 / 15卷 / 03期

关键词：

Multiplication group of topological loops; topological transformation groups; sections in Lie groups; quasi-simple Lie groups;

D O I：

10.1515/advgeom-2015-0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove thatamong the quasi-simple Lie groups only the group SL4 (R) occurs as the multiplication group of 3-dimensional connected topological loops L. These loops L are homeomorphic to the sphere S-3. Moreover, there does not exist any connected topological loop having an at most 8-dimensional quasi-simple Lie groups as its multiplication group.

引用

页码：315 / 331

页数：17

共 24 条

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