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

[1] ON CONJUGACY OF MAXIMAL SUBALGEBRAS OF SOLVABLE LIE ALGEBRAS
Towers, David A.
COMMUNICATIONS IN ALGEBRA, 2014, 42 (03) : 1350 - 1353
[2] PRIMITIVE IDEALS OF ENVELOPING ALGEBRAS OF SOLVABLE LIE ALGEBRAS
CONZE, N
VERGNE, M
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (15): : 958 - &
[3] SOLVABLE LIE-ALGEBRAS WITH HEISENBERG IDEALS
RUBIN, JL
WINTERNITZ, P
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (05): : 1123 - 1138
[4] CONJUGACY CLASSES IN LIE ALGEBRAS AND ALGEBRAIC GROUPS
RICHARDS.RW
ANNALS OF MATHEMATICS, 1967, 86 (01) : 1 - &
[5] CONJUGACY CLASSES OF FINITE SOLVABLE SUBGROUPS IN LIE-GROUPS
FRIEDLANDER, EM
MISLIN, G
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1988, 21 (02): : 179 - 191
[6] Abelian Ideals of Maximal Dimension for Solvable Lie Algebras
Burde, Dietrich
Ceballos, Manuel
JOURNAL OF LIE THEORY, 2012, 22 (03) : 741 - 756
[7] INDUCED CONJUGACY CLASSES IN CLASSICAL LIE-ALGEBRAS
KEMPKEN, G
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1983, 53 : 53 - 83
[8] IDEALS IN UNIVERSAL ENVELOPING-ALGEBRAS OF SOLVABLE LIE-ALGEBRAS
SIGURDSSON, G
COMMUNICATIONS IN ALGEBRA, 1987, 15 (04) : 813 - 826
[9] Solvability of Equations in Classes of Solvable Groups and Lie Algebras
V. A. Roman’kov
Algebra and Logic, 2017, 56 : 251 - 255
[10] SOLVABILITY OF EQUATIONS IN CLASSES OF SOLVABLE GROUPS AND LIE ALGEBRAS
Roman'kov, V. A.
ALGEBRA AND LOGIC, 2017, 56 (03) : 251 - 255

← 1 2 3 4 5 →