On finite dimensional simple Novikov superalgebras

被引:3
作者
Liu, Dong [1 ]
Pei, Yufeng [2 ]
Xia, Li-meng [3 ]
机构
[1] Huzhou Univ, Dept Math, Huzhou, Zhejiang, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[3] Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang, Jiangsu, Peoples R China
关键词
Novikov algebras; simple Novikov superalgebras; ALGEBRAS; CLASSIFICATION;
D O I
10.1080/00927872.2018.1499919
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we prove that every finite dimensional simple Novikov superalgebra over a field of characteristic not equal 2 is trivial, i.e., A(1) = 0.
引用
收藏
页码:999 / 1004
页数:6
相关论文
共 25 条
  • [1] Symmetric Novikov superalgebras
    Ayadi, Imen
    Benayadi, Said
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (02)
  • [2] The classification of Novikov algebras in low dimensions
    Bai, CM
    Meng, DJ
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (08): : 1581 - 1594
  • [3] BALINSKII AA, 1987, FUNCT ANAL APPL+, V21, P308
  • [4] Balinsky A., 1985, Sov. Math. Dokl., V32, P228, DOI DOI 10.1098/RSPA.1986.0107.5V
  • [5] CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS
    Benes, Thomas
    Burde, Dietrich
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (02)
  • [6] Burde D., 2006, Cent. Eur. J. Math., V4, P323
  • [7] Novikov structures on solvable Lie algebras
    Burde, Dietrich
    Dekimpe, Karel
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (09) : 1837 - 1855
  • [8] Chen ZQ, 2016, J LIE THEORY, V26, P227
  • [9] Engel theorem for Novikov algebras
    Dzhumadil'daev, AS
    Tulenbaev, KM
    [J]. COMMUNICATIONS IN ALGEBRA, 2006, 34 (03) : 883 - 888
  • [10] Gelfand I. M., 1979, Funct. Analysis and its Appl., V13, P248, DOI 10.1007/BF01078363