Speciality of Jordan superalgebras related to Novikov-Poisson algebras

被引：7
|
作者：
Zhelyabin, V. N. [1 ]
Zakharov, A. S.
机构：
[1] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
MATHEMATICAL NOTES | 2015年 / 97卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
Jordan superalgebra; special Jordan superalgebra; Novikov-Poisson algebra; Jordan bracket; Kantor double;
D O I：
10.1134/S0001434615030050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, the speciality of Jordan superalgebras corresponding to Novikov-Poisson algebras is proved.
引用
收藏
页码：341 / 348
页数：8
相关论文
共 50 条
  • [21] Novikov-Jordan algebras
    Dzhumadil'daev, A
    COMMUNICATIONS IN ALGEBRA, 2002, 30 (11) : 5207 - 5240
  • [22] On speciality of Bernstein Jordan algebras
    López-Díaz, MC
    Shestakov, IP
    Sverchkov, SR
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (09) : 4375 - 4387
  • [23] On the speciality of Jordan algebras and subquotients of Lie algebras
    Garcia, Esther
    Gomez Lozano, Miguel
    Munoz Alcazar, Ruben
    JOURNAL OF ALGEBRA, 2020, 563 : 426 - 441
  • [24] Quadratic Lie conformal superalgebras related to Novikov superalgebras
    Kolesnikov, Pavel S.
    Kozlov, Roman A.
    Panasenko, Aleksander S.
    JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2021, 15 (04) : 1485 - 1500
  • [25] GELFAND-DORFMAN-NOVIKOV-POISSON SUPERALGEBRAS AND THEIR ENVELOPES
    Zakharov, Anton Stanislavovich
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1843 - 1855
  • [26] Speciality of Lie-Jordan algebras
    Grishkov, AN
    Shestakov, IP
    JOURNAL OF ALGEBRA, 2001, 237 (02) : 621 - 636
  • [27] Speciality of interconnected quadratic Jordan algebras
    Hall, JA
    COMMUNICATIONS IN ALGEBRA, 2002, 30 (06) : 2593 - 2615
  • [28] SPECIALITY AND REFLEXIVITY OF QUADRATIC JORDAN ALGEBRAS
    MCCRIMMON, K
    COMMUNICATIONS IN ALGEBRA, 1977, 5 (09) : 903 - 935
  • [29] On structure and TKK algebras for Jordan superalgebras
    Barbier, Sigiswald
    Coulembier, Kevin
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (02) : 684 - 704
  • [30] Differential algebras and simple Jordan superalgebras
    Zhelyabin V.N.
    Siberian Advances in Mathematics, 2010, 20 (3) : 223 - 230
12345