一类无限维李代数的二上同调群

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英文篇名：The Second Cohomology Group of a Class of Infinite Dimensional Lie Algebras 作者：张悦 ; 王伟 英文作者：ZHANG Yue;WANG Wei;School of Mathematics and Statistics,Ningxia University; 关键词：Virasoro代数 ; 二上循环 ; 二上同调群 英文关键词：Virasoro algebra;;2-cocycle;;second cohomology group 中文刊名：CSGX 英文刊名：Journal of Changshu Institute of Technology 机构：宁夏大学数学统计学院; 出版日期：2017-03-20 出版单位：常熟理工学院学报 年：2017 期：v.31;No.192 基金：国家自然科学基金项目“几类(李、左对称)共形(双)代数的结构和表示”(11661063) 语种：中文; 页：CSGX201702016 页数：4 CN：02 ISSN：32-1749/Z 分类号：79-82

摘要

通过计算,得到了一类无限维李代数的二上同调群和Leibniz二上同调群,这类李代数包含无中心的Virasoro子代数.
        A class of infinite dimensional Lie algebras is discussed, which contains the centerless Virasoro subal-gebra. In this paper, the second cohomology group and the second Leibniz cohomology group of this kind of Liealgebras are obtained.

引文

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