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Algebra and Discrete Mathematics, 2006, Issue 1, Pages 81–88
(Mi adm250)
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RESEARCH ARTICLE
Uncountably many non-isomorphic nilpotent real $n$-Lie algebras
Ernest Stitzinger, Michael P. Williams North Carolina State University, Box 8205,
Raleigh, NC 27695
Abstract:
There are an uncountable number of non-isomorphic nilpotent real Lie algebras for every dimension greater than or equal to 7. We extend an old technique, which applies to Lie algebras of dimension greater than or equal to 10, to find corresponding results for $n$-Lie algebras. In particular, for $n\ge 6$, there are an uncountable number of non-isomorphic nilpotent real $n$-Lie algebras of dimension $n+4$.
Keywords:
$n$-Lie algebras, nilpotent, algebraically independent, transcendence degree.
Citation:
Ernest Stitzinger, Michael P. Williams, “Uncountably many non-isomorphic nilpotent real $n$-Lie algebras”, Algebra Discrete Math., 2006, no. 1, 81–88
Linking options:
https://www.mathnet.ru/eng/adm250 https://www.mathnet.ru/eng/adm/y2006/i1/p81
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Statistics & downloads: |
Abstract page: | 106 | Full-text PDF : | 56 | First page: | 1 |
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