Skew-symmetric biderivations and linear commuting maps on the algebra SW(b)

被引：0

作者：

Liu, Yan ^{[1
]}

Ma, Yao ^{[1
]}

Chen, Liangyun ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 05期

关键词：

Biderivation; commuting map; Schrodinger algebra; Witt algebra; CLASSIFICATION; MODULES; W(A;

D O I：

10.1080/00927872.2024.2421419

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the parameter b is an element of C, denote the semi-direct product of the Witt algebra and the loop Schrodinger algebra as SW(b). In this paper, we investigate the skew-symmetric biderivations of this Lie algebra. As an application, we give the explicit form of each linear commuting map on SW(b). It turns out that on SW(b) we have only inner biderivations and standard linear commuting maps except in the case b=-12.

引用

页码：1755 / 1769

页数：15

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