The Cartan-Type Modular Lie Superalgebra KO
The Cartan-Type Modular Lie Superalgebra KO
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DOI：
10.1080/00927870500346065
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发表时间：
2006-01
影响因子：
0.7
通讯作者：
Jiayuan Fu;Qingcheng Zhang;Cuipo Jiang
中科院分区：
文献类型：
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作者：
Jiayuan Fu;Qingcheng Zhang;Cuipo Jiang
摘要研究了素特征域上有限维奇接触李超代数KO(n，n+1，t)，其中n为正整数，t为非负整数元组。特别地，证明了KO(n，n+1，t)是简单的，不存在非奇异结合双线性形式。给出了KO(n，n+1，t)的导子超代数的一个显式刻画，并由此证明了KO(n，n+1，t)的外导子超代数是维阿贝尔的。作者声明：K.Misra；
ABSTRACT The finite-dimensional odd contact Lie superalgebras KO(n, n + 1, t ) over a field of prime characteristic are studied, where n is a positive integer and t is an n-tuple of non-negative integers. In particular, it is proven that KO(n, n + 1, t ) is simple and has no non-singular associative bilinear forms. Moreover, an explicit description of the derivation superalgebra of KO(n, n + 1, t ) is given, and as a consequence it is shown that the outer derivation superalgebra of KO(n, n + 1, t ) is Abelian of dimension . Communicated by K. Misra.