Leibniz Algebras and Lie Algebras
This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149355 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Leibniz Algebras and Lie Algebras / G. Mason, G. Yamskulna // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 7 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-149355 |
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Mason, G. Yamskulna, G. 2019-02-21T07:10:09Z 2019-02-21T07:10:09Z 2013 Leibniz Algebras and Lie Algebras / G. Mason, G. Yamskulna // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 7 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17A32 DOI: http://dx.doi.org/10.3842/SIGMA.2013.063 https://nasplib.isofts.kiev.ua/handle/123456789/149355 This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel. This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is available at http://www.emis.de/journals/SIGMA/LieTheory2014.html. This work was supported by the NSF (G.M.) and the Simons Foundation (G.Y.). The authors thank the (anonymous) referees for helpful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Leibniz Algebras and Lie Algebras Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Leibniz Algebras and Lie Algebras |
| spellingShingle |
Leibniz Algebras and Lie Algebras Mason, G. Yamskulna, G. |
| title_short |
Leibniz Algebras and Lie Algebras |
| title_full |
Leibniz Algebras and Lie Algebras |
| title_fullStr |
Leibniz Algebras and Lie Algebras |
| title_full_unstemmed |
Leibniz Algebras and Lie Algebras |
| title_sort |
leibniz algebras and lie algebras |
| author |
Mason, G. Yamskulna, G. |
| author_facet |
Mason, G. Yamskulna, G. |
| publishDate |
2013 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149355 |
| citation_txt |
Leibniz Algebras and Lie Algebras / G. Mason, G. Yamskulna // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 7 назв. — англ. |
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AT masong leibnizalgebrasandliealgebras AT yamskulnag leibnizalgebrasandliealgebras |
| first_indexed |
2025-12-02T09:49:52Z |
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2025-12-02T09:49:52Z |
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1850862137316999168 |