Ideals of finite codimension in contact Lie algebra

被引:0
|
作者
Benalili, M [1 ]
Lansari, A [1 ]
机构
[1] Univ Tlemcen Algerie, Dept Math, Fac Sci, Tilimsen, Algeria
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Ideals of germs of vector fields leaving 0 fixed in R2n+1, of finite codimension in contact Lie algebra contain the ideal of germs infinitely flat at 0. We give an application.
引用
收藏
页码:129 / 134
页数:6
相关论文
共 50 条
  • [1] LIE SUBALGEBRAS OF FINITE CODIMENSION OF CONTACT ALGEBRA
    NAKANISHI, N
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 283 (12): : 907 - 910
  • [2] Banach Lie algebras with Lie subalgebras of finite codimension have Lie ideals
    Kissin, Edward
    Shulman, Victor S.
    Turovskii, Yurii V.
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 80 : 603 - 626
  • [3] Banach Lie algebras with Lie subalgebras of finite codimension: Their invariant subspaces and Lie ideals
    Kissin, Edward
    Shulman, Victor S.
    Turovskii, Yurii V.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (02) : 323 - 351
  • [4] Principal derivations and codimension one ideals in contact and Frobenius Lie algebras
    Barajas, T.
    Roque, E.
    Salgado, G.
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (12) : 5380 - 5391
  • [5] Lie algebra of column-finite infinite matrices: Ideals and derivations
    Holubowski, Waldemar
    Zurek, Sebastian
    JOURNAL OF ALGEBRA, 2023, 619 : 517 - 537
  • [6] On Ideals in the Enveloping Algebra of a Locally Simple Lie Algebra
    Penkov, Ivan
    Petukhov, Alexey
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (13) : 5196 - 5228
  • [7] ALGEBRA STRUCTURES FOR FINITE FREE RESOLUTIONS, AND SOME STRUCTURE THEOREMS FOR IDEALS OF CODIMENSION .3.
    BUCHSBAUM, DA
    EISENBUD, D
    AMERICAN JOURNAL OF MATHEMATICS, 1977, 99 (03) : 447 - 485
  • [8] LOCALLY NILPOTENT IDEALS OF A LIE ALGEBRA
    HARTLEY, B
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1967, 63 : 257 - &
  • [9] THE LATTICE OF IDEALS OF A LIE-ALGEBRA
    CLAVIJO, MPB
    JOURNAL OF ALGEBRA, 1995, 171 (02) : 347 - 369
  • [10] ON THE IDEALS OF A LIE-ALGEBRA OF DERIVATIONS
    JORDAN, DA
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 33 : 33 - 39