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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |