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

被引:0
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作者
Wen De LIU~(1))School of Mathematical Sciences
机构
关键词
canonical torus; derivation space; first cohomology group;
D O I
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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.
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页码:355 / 378
页数:24
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