模李超代数■(2)的诱导模

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英文篇名：Induced Module of Modular Lie Superalgebra ■(2) 作者：胡余旺 ; 张凯丽 英文作者：HU Yuwang;ZHANG Kaili;College of Mathematics and Statistics,Xinyang Normal University;Mathematics Group,Xinmi Experimental Junior Middle School; 关键词：模李超代数 ; 诱导模 ; 不可约性 英文关键词：modular Lie superalgebra;;induced module;;irreducibility 中文刊名：XYSK 英文刊名：Journal of Xinyang Normal University(Natural Science Edition) 机构：信阳师范学院数学与统计学院;新密市实验初级中学数学组; 出版日期：2019-01-07 09:52 出版单位：信阳师范学院学报(自然科学版) 年：2019 期：v.32;No.134 基金：国家自然科学基金项目(11471333,11871190) 语种：中文; 页：XYSK201901002 页数：4 CN：01 ISSN：41-1107/N 分类号：7-10

摘要

令g=■(2)是特征p>2的代数闭域F上模李超代数,构造了诱导模Ind_g~g+V,刻画其结构.通过计算其最高权向量,证明了诱导模的不可约性.
        Let g=■(2) be a modular Lie superalgebra over the algebraic closed field F of characteristic p > 2.Induced module Ind_g~g+V was constructed,the structure of induced module was studied. The irreducibility of induced module was proved by computing its highest weight vector.

引文

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