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
收藏
页码：355 / 378
页数：24
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