On representations of Plesken Lie algebras

被引：0

作者：

Arjun, S. N. ^{[1
]}

Romeo, P. G. ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Math, Kochi 682022, Kerala, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 05期

关键词：

Group algebra; Plesken Lie algebra; representation;

D O I：

10.1142/S1793557123500857

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Cohen and Taylor [On a certain Lie algebra defined by a finite group, Am. Math. Mon. 114 (2007) 633-639] introduced certain Lie algebras constructed using finite groups called the Plesken Lie algebras. In this paper, we describe the representation of these Plesken Lie algebras, their irreducibility and the Plesken Lie algebra modules.

引用

页数：13

共 6 条

[1] On a certain Lie algebra defined by a finite group
Cohen, Arjeh M.
Taylor, D. E.
[J]. AMERICAN MATHEMATICAL MONTHLY, 2007, 114 (07) : 633 - 639
[2] Cullinan J., PLESKEN LIE ALGEBRA
[3] Fulton W, 1991, GRADUATE TEXTS MATH, V129, DOI DOI 10.1007/978-1-4612-0979-9
[4] Hall BC., 2003, LIE GROUPS LIE ALGEB
[5] Humphreys J E., 1972, Introduction to Lie Algebras and Representation Theory
[6] James G., 2001, Representations and characters of groups, V2nd ed., DOI 10.1017/CBO9780511814532

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