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
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
收藏
页数:11
相关论文
共 50 条
  • [41] Minimal faithful upper-triangular matrix representations for solvable Lie algebras
    Ceballos, M.
    Nunez, J.
    Tenorio, A. F.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 318 : 279 - 292
  • [42] Finite-dimensional solvable Lie algebras generated by normal operators are commutative
    Cao, Peng
    Sun, Shanli
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) : 928 - 931
  • [43] The isomorphic realization of nondegenerate solvable Lie algebras of maximal rank based on Kac-Moody algebras
    LU CaiHui
    ZHANG HaiShan
    ScienceChina(Mathematics), 2013, 56 (05) : 996 - 1015
  • [44] Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical
    Brienza, Beatrice
    Fino, Anna
    MATHEMATISCHE NACHRICHTEN, 2024, 297 (12) : 4705 - 4729
  • [45] Solvable conjugacy class graph of groups
    Bhowal, Parthajit
    Cameron, Peter J.
    Nath, Rajat Kanti
    Sambale, Benjamin
    DISCRETE MATHEMATICS, 2023, 346 (08)
  • [46] Conjugacy classes of completely reducible cube-free solvable p′-subgroups of GL(2,q)
    Kumar, Prashun
    Venkataraman, Geetha
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [47] Combinatorial analogues of ad-nilpotent ideals for untwisted affine Lie algebras
    Baur, Karin
    Mazorchuk, Volodymyr
    JOURNAL OF ALGEBRA, 2012, 372 : 85 - 107
  • [48] IDEALS OF GENERAL LINEAR LIE ALGEBRAS OF INFINITE-DIMENSIONAL VECTOR SPACES
    Bezushchak, Oksana
    Holubowski, Waldemar
    Oliynyk, Bogdana
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (02) : 467 - 473
  • [49] Classification of finite-dimensional solvable Lie algebras with nondegenerate invariant bilinear forms
    Lu, Caihui
    JOURNAL OF ALGEBRA, 2007, 311 (01) : 178 - 201
  • [50] Conjugacy classes of left ideals of Sweedler's four-dimensional algebra H4
    Gao, Fengxia
    Chen, Jialei
    AIMS MATHEMATICS, 2022, 7 (05): : 7720 - 7727