Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras
Hom-Poisson superalgebras can be considered as a deformation of Poisson superalgebras. We prove that Hom-Poisson superalgebras are closed under tensor products. Moreover, we show that Hom-Poisson superalgebras can be described using only the twisting map and one binary operation. Finally, all algebr...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/354341 |
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| _version_ | 1832547657089810432 |
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| author | Qingcheng Zhang Chunyue Wang Zhu Wei |
| author_facet | Qingcheng Zhang Chunyue Wang Zhu Wei |
| author_sort | Qingcheng Zhang |
| collection | DOAJ |
| description | Hom-Poisson superalgebras can be considered as a deformation of
Poisson superalgebras. We prove that Hom-Poisson superalgebras are
closed under tensor products. Moreover, we show that Hom-Poisson
superalgebras can be described using only the twisting map and one
binary operation. Finally, all algebra endomorphisms on 2-dimensional
complex Poisson superalgebras are computed, and their associated
Hom-Poisson superalgebras are described explicitly. |
| format | Article |
| id | doaj-art-9cfed0da3773411484fb0f2625b973d5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9cfed0da3773411484fb0f2625b973d52025-02-03T06:43:53ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/354341354341Structures and Low Dimensional Classifications of Hom-Poisson SuperalgebrasQingcheng Zhang0Chunyue Wang1Zhu Wei2School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaSchool of Applied Sciences, Jilin Engineering Normal University, Changchun 130052, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun 130024, ChinaHom-Poisson superalgebras can be considered as a deformation of Poisson superalgebras. We prove that Hom-Poisson superalgebras are closed under tensor products. Moreover, we show that Hom-Poisson superalgebras can be described using only the twisting map and one binary operation. Finally, all algebra endomorphisms on 2-dimensional complex Poisson superalgebras are computed, and their associated Hom-Poisson superalgebras are described explicitly.http://dx.doi.org/10.1155/2015/354341 |
| spellingShingle | Qingcheng Zhang Chunyue Wang Zhu Wei Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras Advances in Mathematical Physics |
| title | Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras |
| title_full | Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras |
| title_fullStr | Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras |
| title_full_unstemmed | Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras |
| title_short | Structures and Low Dimensional Classifications of Hom-Poisson Superalgebras |
| title_sort | structures and low dimensional classifications of hom poisson superalgebras |
| url | http://dx.doi.org/10.1155/2015/354341 |
| work_keys_str_mv | AT qingchengzhang structuresandlowdimensionalclassificationsofhompoissonsuperalgebras AT chunyuewang structuresandlowdimensionalclassificationsofhompoissonsuperalgebras AT zhuwei structuresandlowdimensionalclassificationsofhompoissonsuperalgebras |