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
  • [41] COMPLETE CLASSIFICATION OF ALGEBRAS OF LEVEL TWO
    Kaygorodov, Ivan
    Volkov, Yury
    [J]. MOSCOW MATHEMATICAL JOURNAL, 2019, 19 (03) : 485 - 521
  • [42] The algebraic and geometric classification of Zinbiel algebras
    Alvarez, Maria Alejandra
    Fehlberg, Renato
    Kaygorodov, Ivan
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (11)
  • [43] On degenerations and splitting of exact sequences
    Sato, M
    Ohnuki, Y
    [J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (07) : 2281 - 2298
  • [44] ELEVATORS FOR DEGENERATIONS OF PEL STRUCTURES
    Lan, Kai-Wen
    [J]. MATHEMATICAL RESEARCH LETTERS, 2011, 18 (05) : 889 - 907
  • [45] THE DEGENERATIONS FOR MODULES AND DUAL MODULES
    Darmajid
    Muchtadi-Alamsyah, Intan
    Irawati
    [J]. JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2012, 26 (01): : 65 - 73
  • [46] Epithelial Dystrophies and Degenerations of the Cornea
    Finis, D.
    Stammen, J.
    Geerling, G.
    [J]. KLINISCHE MONATSBLATTER FUR AUGENHEILKUNDE, 2013, 230 (03) : 279 - 293
  • [47] On subvarieties of degenerations of Fano varieties
    Qu, Santai
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2024, 35 (14)
  • [48] TROPICAL DEGENERATIONS AND STABLE RATIONALITY
    Nicaise, Johannes
    Ottem, John Christian
    [J]. DUKE MATHEMATICAL JOURNAL, 2022, 171 (15) : 3023 - 3075
  • [49] n-ary Algebras of the First Level
    Volkov, Yury
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
  • [50] Anticommutative Engel algebras of the first five levels
    Volkov, Yury
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (01) : 148 - 175