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: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| 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| _version_ | 1862588378747240448 |
|---|---|
| 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 |
| fulltext | |
| 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 |