Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t)
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913993809985536 |
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| author | Xu, Da Xu, Xiaoning |
| author_facet | Xu, Da Xu, Xiaoning |
| contents | This paper aims to study the skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t). Let HO denote the odd Hamiltonian Lie superalgebra HO(n, n; t) and SHO the special odd Hamiltonian Lie superalgebra SHO(n, n; t) over a field of characteristic p > 2.Utilizing the abelian subalgebra TSHO and the weight space decomposition of HO with respect to TSHO , we show the action of a skew-symmetric super-biderivation on the elements of TSHO and some specific elements of SHO. Moreover, we prove that all skew-symmetric super-biderivations of SHO are inner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t) Xu, Da Xu, Xiaoning Rings and Algebras This paper aims to study the skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t). Let HO denote the odd Hamiltonian Lie superalgebra HO(n, n; t) and SHO the special odd Hamiltonian Lie superalgebra SHO(n, n; t) over a field of characteristic p > 2.Utilizing the abelian subalgebra TSHO and the weight space decomposition of HO with respect to TSHO , we show the action of a skew-symmetric super-biderivation on the elements of TSHO and some specific elements of SHO. Moreover, we prove that all skew-symmetric super-biderivations of SHO are inner. |
| title | Skew-symmetric super-biderivations of the special odd Hamiltonian superalgebra SHO(n, n; t) |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2508.12069 |