Representations of filtered solvable Lie algebras

被引：1
|
作者：
Panov, A. N. [1 ]
机构：
[1] Samara State Univ, Samara 443086, Russia
来源：
SBORNIK MATHEMATICS | 2012年 / 203卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Lie algebra; filtration; representation; orbit method; Vergne polarization; CONSTRUCTION; ELEMENT;
D O I：
10.1070/SM2012v203n01ABEH004214
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The representation theory of filtered solvable Lie algebras is constructed. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are found.
引用
收藏
页码：75 / 87
页数：13
相关论文
共 50 条
  • [1] Quivers and Three Dimensional Solvable Lie Algebras
    Pike, Jeffrey
    JOURNAL OF LIE THEORY, 2017, 27 (03) : 707 - 726
  • [2] Representations of Lie algebras
    Futorny, Vyacheslav
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2022, 16 (01): : 131 - 156
  • [3] On Orbits of 4-Dimensional Representations of 3-Dimensional Solvable Lie Algebras
    A. V. Loboda
    R. S. Akopyan
    B. M. Darinskii
    Lobachevskii Journal of Mathematics, 2023, 44 : 1383 - 1406
  • [4] On Orbits of 4-Dimensional Representations of 3-Dimensional Solvable Lie Algebras
    Loboda, A. V.
    Akopyan, R. S.
    Darinskii, B. M.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (04) : 1383 - 1406
  • [5] Local derivations on Solvable Lie algebras
    Ayupov, Sh A.
    Khudoyberdiyev, A. Kh
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (07) : 1286 - 1301
  • [6] NILPOTENT DECOMPOSITION OF SOLVABLE LIE ALGEBRAS
    Qi, Liqun
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2020, 18 (04) : 1041 - 1054
  • [7] On nilpotent and solvable Lie algebras of derivations
    Makedonskyi, Ie O.
    Petravchuk, A. P.
    JOURNAL OF ALGEBRA, 2014, 401 : 245 - 257
  • [8] On Polynomial Representations of Lie Algebras
    陈酌
    贺龙光
    钟德寿
    NortheasternMathematicalJournal, 2006, (03) : 335 - 348
  • [9] On representations of Plesken Lie algebras
    Arjun, S. N.
    Romeo, P. G.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (05)
  • [10] A Study on the Centroid of a Class of Solvable Lie Algebras
    Yu, Demin
    Jiang, Chan
    Ma, Jiejing
    SYMMETRY-BASEL, 2023, 15 (07):
12345