Derivations of the finite-dimensional special odd Hamiltonian superalgebras

Details Derivations of the finite-dimensional special odd Hamiltonian superalgebras Derivations of the finite-dimensional special odd Hamiltonian superalgebras

2010-07-07

arxiv.org/abs/1007.1098v1

Mathematics

Representation Theory

Scientific paper

The aim is to determine the derivations of the three series of finite-dimensional Z-graded Lie superalgebras of Cartan-type over a field of characteristic p > 3, called the special odd Hamiltonian superalgebras. To that end we first determine the derivations of negative Z-degree for the restricted and simple special odd Hamiltonian superalgebras by means of weight space decompositions. Then the results are used to determine the derivations of negative Z-degree for the nonrestricted and non-simple special odd Hamiltonian superalgebras. Finally the derivation algebras and the outer derivation algebras of those Lie superalgebras are completely determined.

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