Left-symmetric algebra structures on the finite-dimensional Witt algebra

被引：0
|
作者：
Chen, Hongjia [1 ]
Wang, Qi [2 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Harbin Engn Univ, Sch Math Sci, Harbin 150001, Heilongjiang, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2024年 / 660卷
关键词：
Left-symmetric algebra; Witt algebra; Irreducible representation;
D O I：
10.1016/j.jalgebra.2024.07.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish compatible left-symmetric algebra structures on the finite-dimensional Witt algebra over an algebraically closed field of characteristic p > 3, satisfying specific Z or Zp-graded conditions. Our primary method involves the representation theory of the Witt algebra in Zp-graded case. Additionally, as a consequential result, we partially answer a question raised by Shen. (c) 2024 Elsevier Inc. All rights are reserved, including those technologies.
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页码：373 / 397
页数：25
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