J. Aust. Math. Soc.
79 (2005), 113130

Finitedimensional odd Hamiltonian superalgebras over a field of prime characteristic

Wende Liu
Department of Mathematics
Harbin Normal University
Harbin 150080
China
and
Department of Mathematics
Northeast Normal University
Changchun 130024
China
wendeliu@sohu.com



Yongzheng Zhang
Department of Mathematics
Harbin Normal University
Harbin 150080
China
zhyz@nenu.edu.cn



Abstract

Let
be the finitedimensional odd Hamiltonian
superalgebra over a field of prime
characteristic. By determining adnilpotent
elements in the even part, the natural filtration
of
is proved to be invariant in the following
sense: If
is an isomorphism then
for all
. Using the result, we complete the
classification of odd Hamiltonian superalgebras.
Finally, we determine the automorphism group of
the restricted odd Hamiltonian superalgebra and
give further properties.

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