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Automorphism groups of finite-dimensional special odd Hamiltonian superalgebras in prime characteristic

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Abstract

This paper is devoted to a study of the automorphism groups of three series of finite-dimensional special odd Hamiltonian superalgebras g over a field of prime characteristic. Our aim is to characterize the connections between the automorphism groups of g and the automorphism groups of the corresponding underlying superalgebras. Precisely speaking, we embed the former into the later. Moreover, we determine the images of the normal series of the automorphism groups and homogeneous automorphism groups of g under the embedded mapping.

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Authors and Affiliations

  1. Department of Mathematics, Harbin Institute of Technology, Harbin, 150006, China

    Liming Tang & Wende Liu

  2. School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, China

    Wende Liu

Authors
  1. Liming Tang
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  2. Wende Liu
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Correspondence to Wende Liu.

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Tang, L., Liu, W. Automorphism groups of finite-dimensional special odd Hamiltonian superalgebras in prime characteristic. Front. Math. China 7, 907–918 (2012). https://doi.org/10.1007/s11464-012-0231-4

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  • DOI: https://doi.org/10.1007/s11464-012-0231-4

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