Derivations of the finite-dimensional special odd Hamiltonian superalgebras
Derivations of the finite-dimensional special odd Hamiltonian superalgebras
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发表时间：
2010-07
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通讯作者：
Wei Bai;Wende Liu;L. Ni
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作者：
Wei Bai;Wende Liu;L. Ni
目的是确定三个系列的嘉当型有限维 Z 分级李超代数在特征 p > 3 的域上的导数，称为特殊奇哈密顿超代数。为此，我们首先通过权空间分解确定受限且简单的特殊奇哈密顿超代数的负 Z 度的推导。然后将结果用于确定非限制且非简单的特殊奇哈密顿超代数的负 Z 度的推导。最终完全确定了这些李超代数的导数代数和外导数代数。
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.