[1]孙丽萍,刘文德.限制李超代数[J].哈尔滨理工大学学报,2018,(04):145-147.[doi:10.15938/j.jhust.2018.04.027]
 SUN Li ping,LIU Wen de. Restricted Lie Superalgebras[J].哈尔滨理工大学学报,2018,(04):145-147.[doi:10.15938/j.jhust.2018.04.027]
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限制李超代数()
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

卷:
期数:
2018年04期
页码:
145-147
栏目:
数理科学
出版日期:
2018-08-25

文章信息/Info

Title:
 Restricted Lie Superalgebras
作者:
孙丽萍1刘文德2
 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
Author(s):
SUN Liping1LIU Wende2
 1School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080,China;2School of Mathematical Sciences, Harbin Normal University, Harbin 150025,China
关键词:
关键词:限制李超代数包络
Keywords:
 Keywords:restricted Lie superalgebra envelope
分类号:
O1525
DOI:
10.15938/j.jhust.2018.04.027
文献标志码:
A
摘要:
摘要:在单模李代数的分类中,限制李代数理论起到了重要作用。为了给单模李超代数的分类提供理论依据,丰富限制李超代数基本理论,研究了可限制李超代数及李超代数的限制包络和泛限制包络。 证明了可限制李超代数是限制李超代数,给出了限制包络、泛限制包络的结构和性质。
Abstract:
 Abstract:The notion of restricted Lie algebras has played an important role in the modular Lie algebra theory, especially in the classification of the simple modular Lie algebras It is necessary to develop restrictedness theory for the classification of the simple modular Lie superalgebras In this paper, the restrictable Lie superalgebras, the restricted envelopes and universal restrictedenvelope are studied A restrictable Lie superalgebras is proved to be restricted Lie superalgebras The structures and some properties of the restricted envelopes and universal penvelope are obtained

参考文献/References:

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备注/Memo

备注/Memo:
基金项目:国家自然科学基金(11471090);黑龙江省自然科学基金(A2015017)
更新日期/Last Update: 2018-10-25