数学杂志2013，Vol.33Issue(4)：702-708,7.
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
摘要
Abstract
In this paper,we study the structural features of the even part g =(O)＞-1gi 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 go-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Key words
Witt Lie superalgebra/ series of submodules/ decomposable maximal graded subalgebra分类
数理科学引用本文复制引用
白薇,刘文德,董学强..Witt型李超代数偶部的可分解极大阶化子代数[J].数学杂志,2013,33(4):702-708,7.基金项目
国家自然科学基金基金资助(11171055) （11171055）
黑龙江省杰出青年科学基金资助(JC201004) （JC201004）
黑龙江省教育厅科研基金资助(12521158). （12521158）
