On nilpotent filiform Lie algebras of dimension eight
The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent automorphisms, in the variety of filiform Lie alge...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120311201X |
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| _version_ | 1849692100749164544 |
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| author | P. Barbari A. Kobotis |
| author_facet | P. Barbari A. Kobotis |
| author_sort | P. Barbari |
| collection | DOAJ |
| description | The aim of this paper is to determine both the Zariski
constructible set of characteristically nilpotent filiform Lie
algebras g of dimension 8 and that of the set of nilpotent
filiform Lie algebras whose group of automorphisms consists of
unipotent automorphisms, in the variety of filiform Lie algebras
of dimension 8 over C. |
| format | Article |
| id | doaj-art-b08f657d50514fafa71528bf33cfb942 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b08f657d50514fafa71528bf33cfb9422025-08-20T03:20:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-0120031487989410.1155/S016117120311201XOn nilpotent filiform Lie algebras of dimension eightP. Barbari0A. Kobotis1Department of Mathematics and Physics, School of Technology, Aristotle University of Thessaloniki, Thessaloniki 540 06, GreeceDepartment of Business Administration, University of Macedonia, 156 Egnatia Street, Thessaloniki 540 06, GreeceThe aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent automorphisms, in the variety of filiform Lie algebras of dimension 8 over C.http://dx.doi.org/10.1155/S016117120311201X |
| spellingShingle | P. Barbari A. Kobotis On nilpotent filiform Lie algebras of dimension eight International Journal of Mathematics and Mathematical Sciences |
| title | On nilpotent filiform Lie algebras of dimension eight |
| title_full | On nilpotent filiform Lie algebras of dimension eight |
| title_fullStr | On nilpotent filiform Lie algebras of dimension eight |
| title_full_unstemmed | On nilpotent filiform Lie algebras of dimension eight |
| title_short | On nilpotent filiform Lie algebras of dimension eight |
| title_sort | on nilpotent filiform lie algebras of dimension eight |
| url | http://dx.doi.org/10.1155/S016117120311201X |
| work_keys_str_mv | AT pbarbari onnilpotentfiliformliealgebrasofdimensioneight AT akobotis onnilpotentfiliformliealgebrasofdimensioneight |