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

被引：4

作者：

Liu, Wen De ^{[1
]}

Hua, Xiu Ying ^{[2
]}

Su, Yu Cai ^{[3
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

[2] Harbin Univ Sci & Technol, Dept Appl Math, Harbin 150080, Peoples R China

[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 03期

关键词：

canonical torus; derivation space; first cohomology group; LIE-SUPERALGEBRAS; CARTAN-TYPE; ALGEBRAS;

D O I：

10.1007/s10114-008-6547-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra HO over a field of prime characteristic. We first give the generating set of the even part g of HO. Then we compute the derivations from g into the even part m of the generalized Witt superalgebra. Finally, we determine the derivation algebra and outer derivation algebra of g and the dimension formulas. In particular, the first cohomology groups H-1 (g; m) and H-1 (g; g) are determined.

引用

页码：355 / 378

页数：24

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