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.
机构:
Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo, BrazilUniv Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo, Brazil
Futorny, Vyacheslav
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES,
2022,
16
(01):
: 131
-
156