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
  • [41] Malcev-Poisson-Jordan algebras
    Ben Haddou, Malika Ait
    Benayadi, Said
    Boulmane, Said
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2016, 15 (09)
  • [42] Jordan supersystems related to Lie superalgebras
    Garcia, Esther
    Gomez Lozano, Miguel
    Vera De Salas, Guillermo
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (03) : 992 - 1000
  • [43] Hom–Jordan–Malcev–Poisson Algebras
    T. Chtioui
    S. Mabrouk
    A. Makhlouf
    Ukrainian Mathematical Journal, 2023, 74 : 1795 - 1808
  • [44] Transposed Poisson structures on Block Lie algebras and superalgebras
    Kaygorodov, Ivan
    Khrypchenko, Mykola
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 656 : 167 - 197
  • [45] Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras
    Petrogradsky, Victor
    Shestakov, Ivan
    JOURNAL OF ALGEBRA, 2021, 574 : 453 - 513
  • [46] Classification of linearly compact simple Jordan and generalized Poisson superalgebras
    Cantarini, Nicoletta
    Kac, Victor G.
    JOURNAL OF ALGEBRA, 2007, 313 (01) : 100 - 124
  • [47] Simple subalgebras of simple Jordan algebras and simple decompositions of simple Jordan superalgebras
    Tvalavadze, M.
    1600,
  • [48] REPRESENTATIONS OF FINITE-DIMENSIONAL JORDAN SUPERALGEBRAS OF POISSON BRACKETS
    STERN, AS
    COMMUNICATIONS IN ALGEBRA, 1995, 23 (05) : 1815 - 1823
  • [49] Minimal faithful representations of abelian Jordan algebras and Lie superalgebras
    Liu, Wende
    Wang, Shujuan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (05) : 1293 - 1299
  • [50] Tensor products and perturbations of BiHom-Novikov-Poisson algebras
    Liu, Ling
    Makhlouf, Abdenacer
    Menini, Claudia
    Panaite, Florin
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 161
12345