U(h)-free modules over the super-Galilean conformal algebras

被引：2
|
作者：
Xie, Qiang [1 ]
Sun, Jiancai [1 ]
Yang, Hengyun [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 06期
关键词：
D O I：
10.1063/5.0094552
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study non-weight modules over the super-Galilean conformal algebra. We construct and classify U(H)-free modules of rank 1 over the Ramond-type algebra and U(h)-free modules of rank 2 over the Neveu-Schwarz-type algebra, where H is a subalgebra of the Ramond-type algebra and h is the Cartan algebra of the Neveu-Schwarz-type algebra. We find that these modules are reducible and isomorphic. Published under an exclusive license by AIP Publishing.
引用
收藏
页数：21
相关论文
共 50 条
  • [1] Super-Galilean conformal algebra in AdS/CFT
    Sakaguchi, Makoto
    JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (04)
  • [2] EXTENSIONS OF CONFORMAL MODULES OVER FINITE LIE CONFORMAL ALGEBRAS OF PLANAR GALILEAN TYPE
    Han, Xiu
    Wang, Dengyin
    Xia, Chunguang
    REPORTS ON MATHEMATICAL PHYSICS, 2024, 94 (02) : 219 - 233
  • [3] U(h)-Free Modules over the Lie Algebras of Differential Operators
    Dilxat, Munayim
    Gao, Shoulan
    Liu, Dong
    Xia, Limeng
    MATHEMATICS, 2022, 10 (10)
  • [4] MODULES OVER THE PLANAR GALILEAN CONFORMAL ALGEBRA ARISING FROM FREE MODULES OF RANK ONE
    Cheng, Jin
    Gao, Dongfang
    Zeng, Ziting
    PACIFIC JOURNAL OF MATHEMATICS, 2023, 326 (02) : 227 - 249
  • [5] Super-biderivations and super-commuting maps on the super Galilean conformal algebras
    Cheng, Xiao
    Sun, Jiancai
    Xia, Chunguang
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (06) : 2648 - 2658
  • [6] On simple modules over conformal Galilei algebras
    Lu, Rencai
    Mazorchuk, Volodymyr
    Zhao, Kaiming
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2014, 218 (10) : 1885 - 1899
  • [7] Extensions of modules over supercurrent conformal algebras
    Lam, N
    COMMUNICATIONS IN ALGEBRA, 2001, 29 (07) : 3061 - 3068
  • [8] U(h)-free modules over the topological N=2 super-BMS3 algebra
    Lu, Hao
    Sun, Jiancai
    Zhang, Honglian
    JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (06)
  • [9] Extensions of conformal modules over Lie conformal algebras of Block type
    Su, Yucai
    Xia, Chunguang
    Yuan, Lamei
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (05)
  • [10] FREE MODULES OVER FREE ALGEBRAS AND FREE GROUP ALGEBRAS - SCHREIER TECHNIQUE
    LEWIN, J
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 145 : 455 - &
12345