Cohomology and deformations for the Heisenberg Hom-Lie algebras

被引:9
|
作者
Alejandra Alvarez, Maria [1 ]
Cartes, Francisco [2 ]
机构
[1] Univ Antofagasta, Fac Ciencias Basica, Dept Matemat, Antofagasta, Chile
[2] Univ Arturo Prat, Fac Ingn & Arquitectura, Iquique, Chile
来源
LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 11期
关键词
Hom-Lie algebras; cohomology; deformations; Heisenberg;
D O I
10.1080/03081087.2018.1487379
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, we consider the Heisenberg Lie algebra with all its Hom-Lie structures. We completely characterize the cohomology and deformations of any order of all Heisenberg Hom-Lie algebras of dimension 3.
引用
收藏
页码:2209 / 2229
页数:21
相关论文
共 50 条
  • [21] On the Capability of Hom-Lie Algebras
    José Manuel Casas
    Xabier García-Martínez
    [J]. Mediterranean Journal of Mathematics, 2022, 19
  • [22] Restricted hom-Lie algebras
    Guan, Baoling
    Chen, Liangyun
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (04): : 823 - 837
  • [23] On isoclinism of Hom-Lie algebras
    Casas, Jose Manuel
    Hosseini, Seyedeh Narges
    [J]. JOURNAL OF ALGEBRA, 2022, 606 : 894 - 915
  • [24] On the Structures of Hom-Lie Algebras
    Shengxiang WANG
    Xiaohui ZHANG
    [J]. Journal of Mathematical Research with Applications, 2014, 34 (04) : 459 - 466
  • [25] α-TYPE CHEVALLEY-EILENBERG COHOMOLOGY OF HOM-LIE ALGEBRAS AND BIALGEBRAS
    Hurle, Benedikt
    Makhlouf, Abdenacer
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2020, 62 : S108 - S127
  • [26] Current Hom-Lie algebras
    Ben Jmaa, Torkia
    Makhlouf, Abdenacer
    Saadaoui, Nejib
    [J]. ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2022, 26 (01): : 103 - 127
  • [27] COHOMOLOGY AND DEFORMATIONS OF HOM-LIE-YAMAGUTI COLOR ALGEBRAS
    Issa, A. Nourou
    [J]. KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (02): : 271 - 291
  • [28] On Hom-Gerstenhaber algebras, and Hom-Lie algebroids
    Mandal, Ashis
    Mishra, Satyendra Kumar
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2018, 133 : 287 - 302
  • [29] Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
    Arnlind, Joakim
    Makhlouf, Abdenacer
    Silvestrov, Sergei
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (04)
  • [30] Enveloping algebras of color hom-Lie algebras
    Armakan, Abdoreza
    Silvestrov, Sergei
    Farhangdoost, Mohammad Reza
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (01) : 316 - 339