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 algebra...

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Published in:Algebra and Discrete Mathematics
Date:2006
Main Authors: Stitzinger, E., Williams, M.P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2006
Online Access:https://nasplib.isofts.kiev.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
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author Stitzinger, E.
Williams, M.P.
author_facet Stitzinger, E.
Williams, M.P.
citation_txt 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.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description 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.
first_indexed 2025-11-27T01:40:30Z
format Article
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id nasplib_isofts_kiev_ua-123456789-157370
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-27T01:40:30Z
publishDate 2006
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Stitzinger, E.
Williams, M.P.
2019-06-20T03:07:36Z
2019-06-20T03:07:36Z
2006
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.
1726-3255
2000 Mathematics Subject Classification: 17A42.
https://nasplib.isofts.kiev.ua/handle/123456789/157370
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Uncountably many non-isomorphic nilpotent real n-Lie algebras
Article
published earlier
spellingShingle Uncountably many non-isomorphic nilpotent real n-Lie algebras
Stitzinger, E.
Williams, M.P.
title Uncountably many non-isomorphic nilpotent real n-Lie algebras
title_full Uncountably many non-isomorphic nilpotent real n-Lie algebras
title_fullStr Uncountably many non-isomorphic nilpotent real n-Lie algebras
title_full_unstemmed Uncountably many non-isomorphic nilpotent real n-Lie algebras
title_short Uncountably many non-isomorphic nilpotent real n-Lie algebras
title_sort uncountably many non-isomorphic nilpotent real n-lie algebras
url https://nasplib.isofts.kiev.ua/handle/123456789/157370
work_keys_str_mv AT stitzingere uncountablymanynonisomorphicnilpotentrealnliealgebras
AT williamsmp uncountablymanynonisomorphicnilpotentrealnliealgebras