Derivations for the even part of the odd Hamiltonian superalgebra in positive characteristic

Details Derivations for the even part of the odd Hamiltonian superalgebra in positive characteristic Derivations for the even part of the odd Hamiltonian superalgebra in positive characteristic

2005-10-26

arxiv.org/abs/math/0510566v2

Acta Math Sin. 25 (2009) 355-378

Mathematics

Rings and Algebras

30 pages

Scientific paper

In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra $HO$ over a field of prime characteristic. We first give the generator set of $HO_{\bar{0}}.$ Then we determine the homogeneous derivationsfrom $HO_{\bar{0}}$ into $W_{\bar{0}},$ the even part of the generalized Witt superalgebra $W$. Finally, wedetermine the derivation algebra and outer derivation algebra of $HO_{\bar{0}}.$

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