模李超代数W(m, n, t )上的左超对称结构

数学物理学报 ›› 2010, Vol. 30 ›› Issue (6): 1402-1412.

模李超代数W(m, n, t )上的左超对称结构

魏竹, 张庆成

东北师范大学数学与统计学院长春 130024

收稿日期:2007-12-09 修回日期:2009-09-18 出版日期:2010-12-25 发布日期:2010-12-25
基金资助:
国家自然科学基金(10871057)资助

Left-symmetric Structures on Lie Superalgebra W(m, n, t )

WEI Zhu, ZHANG Qiang-Cheng

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024

Received:2007-12-09 Revised:2009-09-18 Online:2010-12-25 Published:2010-12-25
Supported by:
国家自然科学基金(10871057)资助

摘要/Abstract

摘要：

该文讨论了etale超仿射表示的相关性质. 对一类具体的Cartan型模李超代数W:=W(m,n, t), 通过引入平移同构,诱导出$W$上的左超对称结构, 并且决定出W上的一类左超对称结构. 同时通过平移同构推广了混合积定理.

关键词: 位移, 平移同构, 左超对称代数

Abstract:

This paper discusses some properties about etale superaffine representation by defining the left-symmetric superalgebra. Let W:=W(m, n, t ) be the general module Lie superalgebra of Cartan type. Under certain conditions, translative isomorphisms induce left-symmetric structures on W. On the other hand, the mixed product theorems are generalized.

Key words: Left-symmetric superalgebra, Displacement, Translation

中图分类号:

17B40

魏竹, 张庆成. 模李超代数W(m, n, t )上的左超对称结构[J]. 数学物理学报, 2010, 30(6): 1402-1412.

WEI Zhu, ZHANG Qiang-Cheng. Left-symmetric Structures on Lie Superalgebra W(m, n, t )[J]. Acta mathematica scientia,Series A, 2010, 30(6): 1402-1412.

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