The Homology of the Lamplighter Lie Algebra

被引：1
作者：
Felix, Y. [1 ]
Murillo, A. [2 ]
机构：
[1] Catholic Univ Louvain, Inst Math & Phys, Louvain, Belgium
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga, Spain
来源：
ALGEBRA AND LOGIC | 2022年 / 60卷 / 06期
关键词：
homology of Lie algebras; Mal'tsev completion; lamplighter Lie algebra; lamplighter group;
D O I：
10.1007/s10469-022-09668-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that the associated Lie algebra of the Mal'tsev DOUBLE-STRUCK CAPITAL Q-completion of the lamplighter group is the pronilpotent completion of the lamplighter Lie algebra. It is also shown that the homology of this completed Lie algebra is of uncountable dimension in each degree.
引用
收藏
页码：425 / 432
页数：8
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