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A class of generalized odd Hamiltonian Lie superalgebras
Authors:Li Ren  Qiang Mu  Yongzheng Zhang
Institution:1. School of Mathematics, Sichuan University, Chengdu, 610064, China
2. School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, China
3. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China
Abstract:We study class of finite-dimensional Cantan-type Lie superalgebras HO(m) over a field of prime characteristic, which can be regarded as extensions of odd Hamiltonian superalgebra HO. And we also determine the derivation superalgebras of Lie superalgebras HO(m).
Keywords:Derivation superalgebra  modular Lie superalgebra  Lie superalgebra of Cartan type
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