AUTOMORPHISMS OF A CLASS OF SOLVABLE LIE ALGEBRAS WITH TRIANGULAR DECOMPOSITIONS

被引：0
|
作者：
Chen, Liang [1 ]
机构：
[1] Furen Educ Ctr, Richmond, BC V7E 1M9, Canada
来源：
COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 10期
关键词：
Automorphisms; Lie algebras; Solvable; 17B30; 17B40; COMMUTATIVE RING; MATRICES;
D O I：
10.1080/00927872.2012.691586
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In 2012, Chen [1] introduced a class of solvable Lie algebras with triangular decompositions called ST-type Lie algebras which share many properties of semisimple Lie algebras. This article determines the derivations and the automorphisms of these Lie algebras.
引用
收藏
页码：3889 / 3909
页数：21
相关论文
共 50 条
  • [1] A CLASS OF SOLVABLE LIE ALGEBRAS WITH TRIANGULAR DECOMPOSITIONS
    Chen, Liang
    COMMUNICATIONS IN ALGEBRA, 2012, 40 (07) : 2285 - 2300
  • [2] On Certain Decompositions of Solvable Lie Algebras
    Towers, David A.
    JOURNAL OF LIE THEORY, 2014, 24 (04) : 969 - 978
  • [3] Solvable Lie algebras with triangular nilradicals
    Tremblay, S
    Winternitz, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (02): : 789 - 806
  • [4] UNITARY AUTOMORPHISMS OF SOLVABLE LIE-ALGEBRAS
    KOWALSKI, O
    PACIFIC JOURNAL OF MATHEMATICS, 1979, 82 (01) : 133 - 143
  • [5] Invariants of the nilpotent and solvable triangular Lie algebras
    Tremblay, S
    Winternitz, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (42): : 9085 - 9099
  • [6] The groups of automorphisms of the Lie algebras of triangular polynomial derivations
    Bavula, V. V.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (05) : 829 - 851
  • [7] Local automorphisms of complex solvable Lie algebras of maximal rank
    Kudaybergenov, Karimbergen
    Kurbanbaev, Tuuelbay
    Omirov, Bakhrom
    LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (13): : 2197 - 2220
  • [8] A Study on the Centroid of a Class of Solvable Lie Algebras
    Yu, Demin
    Jiang, Chan
    Ma, Jiejing
    SYMMETRY-BASEL, 2023, 15 (07):
  • [9] FRATTINI SUBALGEBRAS OF A CLASS OF SOLVABLE LIE ALGEBRAS
    Stitzinger, EL
    PACIFIC JOURNAL OF MATHEMATICS, 1970, 34 (01) : 177 - 182
  • [10] A class of solvable Lie algebras and their Casimir invariants
    Snobl, L
    Winternitz, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (12): : 2687 - 2700
12345