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The q-analog klein bottle Lie algebra
  • ISSN号：1005-3867
  • 期刊名称：Algebra Colloquium
  • 时间：2014
  • 页码：561-574
  • 分类：O152.5[理学—数学;理学—基础数学] O189.1[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, Shanghai diaotong University,Shanghai 200240, China, [2]Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
  • 相关基金：The first author was supported in part by the NSFC （10931006, 10871125） and the Innovation Program of Shanghai Municipal Education Commission （11ZZ18）. The second author was supported by the NSFC （11326060）. The third author was supported in part by the NSFC （11101285, 11026042, 11071068）, the Shanghai Natural Science Foundation （11ZR1425900）, the Innovation Program of Shanghai Municipal Education Commission （11YZ85）, the Academic Discipline Project of Shanghai Normal University （DZL803） and ZJNSF （Y6100148）.
  • 相关项目：与q-类似 Virasoro-like 李代数相关的李代数的结构和表示
作者： Cuipo Jiang|Jingjing Jiang|Yufeng Pei|
关键词： 单李代数, 克莱因瓶, Q-模拟, 双线性形式, 有限生成, 中心扩张, 无穷维, 代数和, Lie algebra, Klein bottle, invariant bilinear form, central extension, derivation
中文摘要：

在这份报纸，我们学习无限维的谎言代数学 q , 把 q 模拟的克莱因瓶子谎言称为代数学。我们显示出那 q 是有限地产生的简单谎言代数学与一唯一(直到数量) 对称的不变的双线性的形式。推导代数学和 q 也被决定。

英文摘要：

In this paper, we study an infinite-dimensional Lie algebra Bq, called the q-analog Klein bottle Lie algebra. We show that Bq is a finitely generated simple Lie algebra with a unique （up to scalars） symmetric invariant bilinear form. The derivation algebra and the universal central extension of Bq are also determined.

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期刊信息
  • 《代数集刊：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院、苏州大学
  • 主编：万哲先
  • 地址：北京市海淀区中关村中国科学院数学与系统科学研究院内
  • 邮编：100080
  • 邮箱：
  • 电话：010-64884955
  • 国际标准刊号：ISSN：1005-3867
  • 国内统一刊号：ISSN：11-3382/O1
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  • 被引量:0