Uncountably many non-isomorphic nilpotent real n-Lie algebras
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...
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| Date: | 2006 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157370 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Uncountably many non-isomorphic nilpotent real n-Lie algebras / E. Stitzinger, M.P. Williams // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 81–88. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 ≥ 6,
there are an uncountable number of non-isomorphic nilpotent real
n-Lie algebras of dimension n + 4. |
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