The multiplication groups of 2-dimensional topological loops

被引：9
|
作者：
Figula, Agota [1 ]
机构：
[1] Univ Debrecen, Inst Math, H-4010 Debrecen, Hungary
来源：
JOURNAL OF GROUP THEORY | 2009年 / 12卷 / 03期
关键词：
D O I：
10.1515/JGT.2008.087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If the multiplication group Mult(L) of a connected simply connected 2-dimensional topological loop L is a Lie group, then Mult(L) is an elementary filiform Lie group F of dimension n + 2 for some n >= 2, and any such group is the multiplication group of a connected simply connected 2-dimensional topological loop L. Moreover, if the group topologically generated by the left translations of L has dimension 3, then L is uniquely determined by a real polynomial of degree n.
引用
收藏
页码：419 / 429
页数：11
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