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HE Ying-hua, LIU Wen-de, LI Bin. Filtration Structure of Finite-Dimensional Special Odd Hamiltonian Superalgebras in Prime Characteristic[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(4): 488-491.
Citation: HE Ying-hua, LIU Wen-de, LI Bin. Filtration Structure of Finite-Dimensional Special Odd Hamiltonian Superalgebras in Prime Characteristic[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(4): 488-491.
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Filtration Structure of Finite-Dimensional Special Odd Hamiltonian Superalgebras in Prime Characteristic

  • Department of Mathematics, Harbin Normal University, Harbin 150025, China

  • Received Date:2009-07-21
    Abstract
  • The filtration structure of finite-dimensional special odd Hamilton superalgebras over a field of prime characteristic was studied. By determining ad-nilpotent elements in the even part, the natural filtration of special odd Hamiltonian superalgebras is proved to be invariant. Using this result, the special odd Hamilton superalgebras is classified. Finally, the automorphism group of the restricted special odd Hamilton superalgebras is determined.
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