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

Xiuying Hua, Yucai Su

math.RAarXiv:math/0510566

Abstract

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 HO0. Then we determine the homogeneous derivationsfrom HO0 into W0, the even part of the generalized Witt superalgebra W. Finally, wedetermine the derivation algebra and outer derivation algebra of HO0.

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