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

doi:10.1007/s11464-012-0231-4

Front Math Chin

2012, Vol. 7

Issue (5) : 907-918 https://doi.org/10.1007/s11464-012-0231-4

RESEARCH ARTICLE

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

Liming TANG¹, Wende LIU^1,2(

)

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150006, China; 2. School of Mathematical Sciences, Harbin Normal University, Harbin 150025, China

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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.

Keywords Special odd Hamiltonian superalgebras automorphism group

Corresponding Author(s): LIU Wende,Email:wendeliu@ustc.edu.cn

Issue Date: 01 October 2012

Cite this article:

Liming TANG,Wende LIU. Automorphism groups of finite-dimensional special odd Hamiltonian superalgebras in prime characteristic[J]. Front Math Chin, 2012, 7(5): 907-918.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0231-4
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I5/907

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