Witt型李超代数偶部的可分解极大阶化子代数  

DECOMPOSABLE MAXIMAL GRADED SUBALGEBRAS FOR THE EVEN PART OF WITT LIE SUPERALGEBRAS

作　　者：白薇[1] 刘文德[1] 董学强[1] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《数学杂志》2013年第4期702-708,共7页Journal of Mathematics

基　　金：国家自然科学基金基金资助(11171055);黑龙江省杰出青年科学基金资助(JC201004);黑龙江省教育厅科研基金资助(12521158)

摘　　要：本文研究了Z-阶化Witt型李超代数偶部g=i≥1gi的结构特点,介绍了可分解极大阶化子代数的定义.通过计算,给出g1作为g0-模的适当子模序列.利用构造法,确定了g在素特征域上的可分解极大阶化子代数的分类.这有助于进一步了解Witt型李超代数的内在性质.In this paper, we study the structural features of the even part g = i≥-1 gi of Z-graded Witt Lie superalgebra and introduce the notion of a decomposable maximal graded subalgebra. By means of computation, some suitable series of submodules of g1 as g0-module are given. All the decomposable maximal graded subalgebras of g over a field of prime characteristic are characterized by virtue of a constructive method. It is helpful to further understand the intrinsic properties of Witt Lie superalgebras.

关 键 词：Witt型李超代数 子模序列 可分解极大阶化子代数 

分 类 号：O152.5[理学—数学]