Derivations of the Even Part of the Odd Hamiltonian Superalgebra in Modular Case

被引：0

作者：

Wen De LIU~(1))School of Mathematical Sciences

机构：

来源：

Acta Mathematica Sinica,English Series | 2009年 / 25卷 / 03期

关键词：

canonical torus; derivation space; first cohomology group;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

In this paper we mainly study the derivations for even part of the finite-dimensional oddHamiltonian superalgebra HO over a field of prime characteristic.We first give the generating set of theeven part g of HO.Then we compute the derivations from g into the even part (?) of the generalizedWitt superalgebra.Finally,we determine the derivation algebra and outer derivation algebra of gand the dimension formulas.In particular,the first cohomology groups H~1 (g;(?)) and H~1(g;g) aredetermined.

引用

页码：355 / 378

页数：24

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