On Category of 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, KL, India
来源
SEMIGROUPS, ALGEBRAS AND OPERATOR THEORY, ICSAOT 2022 | 2023年 / 436卷
关键词
Lie algebra; Plesken Lie algebra; Group algebra; Category; Functor;
D O I
10.1007/978-981-99-6349-2_9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we describe certain Lie algebra of a group algebra which we call group Lie algebra. Further we introduce the category of Lie algebras with the aim to have a unified approach to various Lie algebras arising in various situations.
引用
收藏
页码:161 / 172
页数:12
相关论文
共 50 条
[31]   Inverses of Cartan matrices of Lie algebras and Lie superalgebras [J].
Leites, Dimitry ;
Lozhechnyk, Oleksandr .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 583 :195-256
[32]   Lie algebras and Lie groups over noncommutative rings [J].
Berenstein, Arkady ;
Retakh, Vladimir .
ADVANCES IN MATHEMATICS, 2008, 218 (06) :1723-1758
[33]   On nilpotent extensions of Lie algebras [J].
Yankosky, B .
HOUSTON JOURNAL OF MATHEMATICS, 2001, 27 (04) :719-724
[34]   Lie algebras with few centralizers [J].
Hoseiniravesh, Masoomeh ;
Moghaddam, Mohammad Reza Rajabzadeh ;
Ghouchan, Mohammad Farrokhi Derakhshandeh .
COMMUNICATIONS IN ALGEBRA, 2017, 45 (07) :2867-2874
[35]   Clifford Elements in Lie Algebras [J].
Brox, Jose ;
Fernandez Lopez, Antonio ;
Gomez Lozano, Miguel .
JOURNAL OF LIE THEORY, 2017, 27 (01) :283-296
[36]   Lie algebras with Abelian centralizers [J].
V. V. Gorbatsevich .
Mathematical Notes, 2017, 101 :795-801
[37]   Large restricted Lie algebras [J].
Bahturin, Yuri ;
Olshanskii, Alexander .
JOURNAL OF ALGEBRA, 2007, 310 (01) :413-427
[38]   Graph operations and Lie algebras [J].
Caceres, J. ;
Ceballos, M. ;
Nunez, J. ;
Puertas, M. L. ;
Tenorio, A. F. .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, 90 (10) :2092-2104
[39]   Lie Algebras and Integrable Systems [J].
Zhang Yu-Feng ;
Mei Jian-Qin .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (06) :1012-1022
[40]   ALGEBRAIC EXPONENTIATION FOR LIE ALGEBRAS [J].
Garcia-Martinez, Xabier ;
Gray, James R. A. .
THEORY AND APPLICATIONS OF CATEGORIES, 2021, 36 :288-305