Ideals and conjugacy classes in solvable Lie algebras

被引：0

作者：

Ali, Sajid ^{[1
]}

Azad, Hassan ^{[2
]}

Biswas, Indranil ^{[3
]}

M. Mahomed, Fazal ^{[4
,5
]}

机构：

[1] Zayed Univ, Coll Interdisciplinary Studies, Dept Math & Stat, Dubai, U Arab Emirates

[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan

[3] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, India

[4] Univ Witwatersrand, DSI NRF Ctr Excellence Math & Stat Sci, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, Wits, South Africa

[5] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年 / 20卷 / 12期

关键词：

Solvable Lie algebra; conjugacy class; ideal; SUBALGEBRAS;

D O I：

10.1142/S021988782350202X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A constructive procedure is given to determine all ideals of a finite-dimensional solvable Lie algebra. This is used in determining algorithmically all conjugacy classes of subalgebras of a given solvable Lie algebra.

引用

页数：11

共 50 条

[21] Computational calculus of the law of a family of solvable Lie algebras
Benjumeaa, J. C.
Morales, M. D.
Nunes, J.
Tenorio, A. F.
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, 2012, 12 (03) : 189 - 198
[22] Quasispectra of solvable Lie algebra homomorphisms into Banach algebras
Dosiev, Anar
STUDIA MATHEMATICA, 2006, 174 (01) : 13 - 27
[23] SOLVABLE EXTENSIONS OF A SPECIAL CLASS OF NILPOTENT LIE ALGEBRAS
Shabanskaya, A.
Thompson, G.
ARCHIVUM MATHEMATICUM, 2013, 49 (03): : 141 - 159
[24] On the orders of conjugacy classes in group algebras of p-groups
Bovdi, A
Kovács, LG
Mihovski, S
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2004, 77 : 185 - 189
[25] Oriented Tree Diagram Lie Algebras and Their Abelian Ideals
Li LUO Department of Mathematics
ActaMathematicaSinica(EnglishSeries), 2010, 26 (11) : 2041 - 2058
[26] Oriented tree diagram Lie algebras and their abelian ideals
Luo, Li
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (11) : 2041 - 2058
[27] Oriented tree diagram Lie algebras and their abelian ideals
Li Luo
Acta Mathematica Sinica, English Series, 2010, 26 : 2041 - 2058
[28] Topological Properties of Ad-semisimple Conjugacy Classes in Lie Groups
An, Jinpeng
JOURNAL OF LIE THEORY, 2008, 18 (03) : 541 - 554
[29] Abelian Subalgebras in Low-Dimensional Solvable Lie Algebras
Ceballos, Manuel
Nunez, Juan
Tenorio, Angel F.
RECENT ADVANCES IN APPLIED MATHEMATICS, 2009, : 151 - +
[30] Ideals and primitive elements of some relatively free Lie algebras
Ekici, Naime
Esmerligil, Zerrin
Ersalan, Dilek
SPRINGERPLUS, 2016, 5

← 1 2 3 4 5 →