ANALOGS OF THE ORTHOGONAL, HAMILTONIAN, POISSON, AND CONTACT LIE SUPERALGEBRAS IN CHARACTERISTIC 2
ANALOGS OF THE ORTHOGONAL, HAMILTONIAN, POISSON, AND CONTACT LIE SUPERALGEBRAS IN CHARACTERISTIC 2
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DOI：
10.1142/s1402925110000854
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发表时间：
2010-01
影响因子：
0.7
通讯作者：
A. Lebedev
中科院分区：
文献类型：
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作者：
A. Lebedev
在特征为2的代数闭域上，描述了正交、辛、哈密顿、泊松和接触李超代数的类似物。非同构类型的数量和这些代数的几个性质是出乎意料的，例如，保留的外微分形式的解释不适用于这些类型之一。介绍了微分形式的除幂和相关的（上）同调。
Over algebraically closed fields of characteristic 2, the analogs of the orthogonal, symplectic, Hamiltonian, Poisson, and contact Lie superalgebras are described. The number of non-isomorphic types, and several properties of these algebras are unexpected, for example, interpretation in terms of exterior differential forms preserved is not applicable to one of these types. The divided powers of differential forms and related (co)homology are introduced.