Degenerations of noncommutative Heisenberg algebras

被引:1
作者
Kaygorodov, Ivan [1 ]
Volkov, Yury [2 ]
机构
[1] Univ Beira Interior, CMA UBI, Covilha, Portugal
[2] St Petersburg State Univ, St Petersburg, Russia
基金
俄罗斯科学基金会;
关键词
Degeneration; n-ary algebra; nilpotent algebra; noncommutative Heisenberg algebra; NILPOTENT LIE-ALGEBRAS; CLASSIFICATION; VARIETIES;
D O I
10.1080/00927872.2023.2202752
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give the full description of all degenerations of complex five dimensional noncommutative Heisenberg algebras. As a corollary, we have the full description of all degenerations of four dimensional anticommutative 3-ary algebras.
引用
收藏
页码:4204 / 4213
页数:10
相关论文
共 50 条
  • [31] Irreducible modules for map Heisenberg-Virasoro Lie algebras
    Chakraborty, Priyanshu
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [32] The classification of semi-conformal structures of Heisenberg vertex operator algebras
    Chu, Yanjun
    Lin, Zongzhu
    JOURNAL OF GEOMETRY AND PHYSICS, 2024, 200
  • [33] Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras
    Wu, Ying
    Wang, Huidong
    Xia, Chunguang
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (05) : 1944 - 1954
  • [34] Harish-Chandra modules over generalized Heisenberg-Virasoro algebras
    Liu, Genqiang
    Guo, Xiangqian
    ISRAEL JOURNAL OF MATHEMATICS, 2014, 204 (01) : 447 - 468
  • [35] Degenerations of spherical subalgebras and spherical roots
    Avdeev, Roman
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2024, 26 (06)
  • [36] A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra
    Luo, Lipeng
    Su, Yucai
    Yue, Xiaoqing
    JOURNAL OF ALGEBRA, 2023, 619 : 130 - 152
  • [37] On degenerations of Lie superalgebras
    Alejandra Alvarez, Maria
    Hernandez, Isabel
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (01) : 29 - 44
  • [38] The geometric classification of nilpotent algebras
    Kaygorodov, Ivan
    Khrypchenko, Mykola
    Lopes, Samuel A.
    JOURNAL OF ALGEBRA, 2023, 633 : 857 - 886
  • [39] Degenerations of Jordan Superalgebras
    María Alejandra Alvarez
    Isabel Hernández
    Ivan Kaygorodov
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 3289 - 3301
  • [40] The algebraic and geometric classification of antiassociative algebras
    Fehlberg, Renato, Jr.
    Kaygorodov, Ivan
    Kuster, Crislaine
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)