Uniformly distributed systems of elements on metabelian Lie rings
Rings and Algebras
2014-04-16 v2
Abstract
In this paper, the notion of a uniformly distributed systems of elements on the variety of metabelian Lie algebras is introduced. This notion is analogous to one of a measure preserving systems of elements on group varieties. As the main result of the paper it was shown that on the variety of metabelian Lie algebras a system of elements is primitive iff it is uniformly distributed.
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Cite
@article{arxiv.1403.5079,
title = {Uniformly distributed systems of elements on metabelian Lie rings},
author = {Evgeny Poroshenko and Evgeniy Timoshenko},
journal= {arXiv preprint arXiv:1403.5079},
year = {2014}
}
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