On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras
The notions of the Killing form and invariant form in Lie algebras are extended to the ones in Lie-Yamaguti superalgebras and some of their properties are investigated. These notions are also Z2-graded generalizations of the ones in Lie-Yamaguti algebras.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2017-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2017/7842482 |
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doaj-8417a24c2ecc4590b5600bf997be05e72020-11-25T00:02:48ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252017-01-01201710.1155/2017/78424827842482On Killing Forms and Invariant Forms of Lie-Yamaguti SuperalgebrasPatricia L. Zoungrana0A. Nourou Issa1Département de Mathématiques de la Décision, Université Ouaga 2, 12 BP 412, Ouagadougou 12, Burkina FasoDépartement de Mathématiques de la Décision, Université Ouaga 2, 12 BP 412, Ouagadougou 12, Burkina FasoThe notions of the Killing form and invariant form in Lie algebras are extended to the ones in Lie-Yamaguti superalgebras and some of their properties are investigated. These notions are also Z2-graded generalizations of the ones in Lie-Yamaguti algebras.http://dx.doi.org/10.1155/2017/7842482 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Patricia L. Zoungrana A. Nourou Issa |
| spellingShingle |
Patricia L. Zoungrana A. Nourou Issa On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Patricia L. Zoungrana A. Nourou Issa |
| author_sort |
Patricia L. Zoungrana |
| title |
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras |
| title_short |
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras |
| title_full |
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras |
| title_fullStr |
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras |
| title_full_unstemmed |
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras |
| title_sort |
on killing forms and invariant forms of lie-yamaguti superalgebras |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2017-01-01 |
| description |
The notions of the Killing form and invariant form in Lie algebras are extended to the ones in Lie-Yamaguti superalgebras and some of their properties are investigated. These notions are also Z2-graded generalizations of the ones in Lie-Yamaguti algebras. |
| url |
http://dx.doi.org/10.1155/2017/7842482 |
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