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

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

2011-05-25

arxiv.org/abs/1105.4998v1

Mathematics

Rings and Algebras

Scientific paper

This paper is devoted to a study of the automorphism groups of three series of finite dimensional special odd Hamiltonian superalgebras $\mathfrak{g}$ over a field of prime characteristic. Our aim is to characterize the connections between the automorphism groups of $\mathfrak{g}$ 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 $\mathfrak{g.}$

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