Lamplier李代数的同调

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2022-05-16 DOI:10.1007/s10469-022-09668-w

Y. Félix, A. Murillo

引用次数: 2

摘要

证明了Mal’tsev的关联李代数ℚ-Lamplier群的完备是Lamplier李代数的幂零完备。还证明了这一完备李代数的同调在每一度上都是不可数维的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Homology of the Lamplighter Lie Algebra

It is proved that the associated Lie algebra of the Mal’tsev 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.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.