奇Hamiltonian李超代数偶部的非负Z-齐次导子空间  

Nonnegative Z-homogeneous Derivations for Even Parts of Odd Hamiltonian Lie Superalgebras

作　　者：华秀英[1] 刘文德[2] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080 [2]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《哈尔滨理工大学学报》2013年第1期76-79,共4页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(12521114)

摘　　要：针对特征p>3的域上的有限维奇Hamiltonian李超代数HO的偶部到广义Witt李超代数W的奇部的非负Z-齐次导子的问题,利用HO偶部的生成元集,通过计算导子在其生成元集上的作用的方法及对导子次数的奇偶性进行讨论,首先证明了若导子在其底部作用为零,则此导子为零这一结论,然后得出了HO的偶部到W的奇部的Z-次数大于等于零的导子.Aiming at the question of the Nonnegative g -homogeneous derivations from the even part of the fi- nite-dimensional odd Hamiltonian Lie superalgebras HO into the odd part of generalized Witt Lie superalgebras W over a field of characteristic p 〉 3, we prove the derivations is zero, if actions equal to zero of derivations on the bottom by means of calculating actions of derivations on the generator set of the even part of HO and the parity of degree of derivations. Furtherly, we obtain the derivations with nonnegative g -degree from the even part of HO into the odd part of W.

关 键 词：阶化 导子空间 除幂代数 外代数 李超代数 

分 类 号：O152.5[理学—数学]