On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras
We introduce the relevant concepts of n-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of n-ary multiplicative Hom-Nambu-Lie superalgebras. As a generalization of the notion of derivations for n-ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of n-ar...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/381683 |
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| _version_ | 1832561207015374848 |
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| author | Baoling Guan Liangyun Chen Yao Ma |
| author_facet | Baoling Guan Liangyun Chen Yao Ma |
| author_sort | Baoling Guan |
| collection | DOAJ |
| description | We introduce the relevant concepts of n-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of n-ary multiplicative Hom-Nambu-Lie superalgebras. As a generalization of the notion of derivations for n-ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of n-ary multiplicative Hom-Nambu-Lie superalgebras. In addition, the theory of one parameter formal deformation of n-ary multiplicative Hom-Nambu-Lie superalgebras is developed by choosing a suitable cohomology. |
| format | Article |
| id | doaj-art-2b76d237a90244e69e4673b186c4f229 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2b76d237a90244e69e4673b186c4f2292025-02-03T01:25:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/381683381683On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie SuperalgebrasBaoling Guan0Liangyun Chen1Yao Ma2College of Sciences, Qiqihar University, Qiqihar 161006, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaWe introduce the relevant concepts of n-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of n-ary multiplicative Hom-Nambu-Lie superalgebras. As a generalization of the notion of derivations for n-ary multiplicative Hom-Nambu-Lie algebras, we discuss the derivations of n-ary multiplicative Hom-Nambu-Lie superalgebras. In addition, the theory of one parameter formal deformation of n-ary multiplicative Hom-Nambu-Lie superalgebras is developed by choosing a suitable cohomology.http://dx.doi.org/10.1155/2014/381683 |
| spellingShingle | Baoling Guan Liangyun Chen Yao Ma On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras Advances in Mathematical Physics |
| title | On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras |
| title_full | On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras |
| title_fullStr | On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras |
| title_full_unstemmed | On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras |
| title_short | On the Deformations and Derivations of n-Ary Multiplicative Hom-Nambu-Lie Superalgebras |
| title_sort | on the deformations and derivations of n ary multiplicative hom nambu lie superalgebras |
| url | http://dx.doi.org/10.1155/2014/381683 |
| work_keys_str_mv | AT baolingguan onthedeformationsandderivationsofnarymultiplicativehomnambuliesuperalgebras AT liangyunchen onthedeformationsandderivationsofnarymultiplicativehomnambuliesuperalgebras AT yaoma onthedeformationsandderivationsofnarymultiplicativehomnambuliesuperalgebras |