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.

引用

页码：373 / 397

页数：25

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