Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 5: 907 - 918

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

RESEARCH ARTICLE

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

  • Liming TANG 1 ,
  • Wende LIU , 1,2
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  • 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150006, China
  • 2. School of Mathematical Sciences, Harbin Normal University, Harbin 150025, China

Received date: 09 Sep 2010

Accepted date: 21 Jun 2012

Published date: 01 Oct 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Special odd Hamiltonian superalgebras; automorphism group

Cite this article

Liming TANG , Wende LIU . Automorphism groups of finite-dimensional special odd Hamiltonian superalgebras in prime characteristic[J]. Frontiers of Mathematics in China, 2012 , 7(5) : 907 -918 . DOI: 10.1007/s11464-012-0231-4

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