The multiplicative Lie algebra on general linear groups

被引：0

作者：

Kumar, Akshay ^{[1
]}

Kushwaha, Seema ^{[1
]}

Upadhyay, Sumit Kumar ^{[1
]}

机构：

[1] Indian Inst Informat Technol Allahabad, Dept Appl Sci, Prayagraj, India

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2025年 / 32卷 / 03期

关键词：

Multiplicative Lie algebra; general linear group; action; linear representation;

D O I：

10.1515/gmj-2024-2059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to study an obvious linear representation of a multiplicative Lie algebra. Also, we find some criteria to determine all possible multiplicative Lie algebra structures on a general linear group and we show that the general linear group on a finite field is a Lie simple group.

引用

页码：457 / 463

页数：7

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