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Algebra i logika, 2021, Volume 60, Number 6, Pages 636–646
DOI: https://doi.org/10.33048/alglog.2021.60.608 (Mi al2691) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The homology of the lamplighter Lie algebra

Y. Félixa, A. Murillob

a Inst. Math. Phys., Univ. Catholique de Louvain, Louvain-la-Neuve, BELGIQUE
b Dep. Algebra, Geom. Topol., Univ. Málaga, Málaga, SPAIN
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DOI: https://doi.org/10.33048/alglog.2021.60.608
Abstract: It is proved that the associated Lie algebra of the Mal'tsev $\mathbb{Q}$-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.
Keywords: homology of Lie algebras, Mal'tsev completion, lamplighter Lie algebra, lamplighter group.
Received: 27.04.2021
Revised: 08.04.2022
Document Type: Article
UDC: 512.664.3
Language: Russian
Citation: Y. Félix, A. Murillo, “The homology of the lamplighter Lie algebra”, Algebra Logika, 60:6 (2021), 636–646
Citation in format AMSBIB
\Bibitem{FelMur21}
\by Y.~F\'elix, A.~Murillo
\paper The homology of the lamplighter Lie algebra
\jour Algebra Logika
\yr 2021
\vol 60
\issue 6
\pages 636--646
\mathnet{http://mi.mathnet.ru/al2691}
\crossref{https://doi.org/10.33048/alglog.2021.60.608}
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