Biderivations of the higher rank Witt algebra without anti-symmetric condition

被引：3
|
作者：
Tang, Xiaomin [1 ,2 ]
Yang, Yu [1 ]
机构：
[1] Heilongjiang Univ, Dept Math, Harbin 150080, Heilongjiang, Peoples R China
[2] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Compl, Harbin 150080, Heilongjiang, Peoples R China
来源：
OPEN MATHEMATICS | 2018年 / 16卷
关键词：
Biderivation; Higher rank Witt algebra; Anti-symmetric; Post-Lie algebra; LINEAR COMMUTING MAPS; LIE-ALGEBRA; WEIGHT MODULES; REPRESENTATIONS; TORUS; C);
D O I：
10.1515/math-2018-0042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Witt algebra W-d of rank d(>= 1) is the derivation algebra of Laurent polynomial algebras in d commuting variables. In this paper, all biderivations of W-d without anti-symmetric condition are determined. As an applications, commutative post-Lie algebra structures on W-d are obtained. Our conclusions recover and generalize results in the related papers on low rank or anti-symmetric cases.
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页码：447 / 452
页数：6
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