Structures of generalized loop planar Galilean conformal algebras

被引:2
|
作者
Yang, Yu [1 ]
Chen, Sheng [1 ]
Tang, Xiaomin [2 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin, Peoples R China
[2] Heilongjiang Univ, Dept Math, Harbin, Peoples R China
关键词
Generalized loop planar galilean conformal algebra; derivation; second cohomology group; automorphism group; LOW-DIMENSIONAL COHOMOLOGY; VIRASORO; BIDERIVATIONS;
D O I
10.1080/00927872.2021.2009492
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we mainly study the structure theory of generalized loop planar Galilean conformal algebra W(Gamma). We determine the derivations, second cohomology groups, and automorphism groups of W(Gamma).
引用
收藏
页码:2517 / 2531
页数:15
相关论文
共 50 条
  • [41] On rigidity of generalized conformal structures
    Samir Bekkara
    Abdelghani Zeghib
    Geometriae Dedicata, 2017, 189 : 59 - 78
  • [42] Galilean conformal groups
    Negro, J
    del Olmo, MA
    Rodriguez-Marco, A
    GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2, 1997, : 246 - 248
  • [43] Galilean conformal electrodynamics
    Bagchi, Arjun
    Basu, Rudranil
    Mehra, Aditya
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (11):
  • [44] Galilean conformal electrodynamics
    Arjun Bagchi
    Rudranil Basu
    Aditya Mehra
    Journal of High Energy Physics, 2014
  • [45] Simple restricted modules for the universal central extension of the planar Galilean conformal algebra
    Chen, Qiu-Fan
    Yao, Yu-Feng
    JOURNAL OF ALGEBRA, 2023, 634 : 698 - 721
  • [46] On Galilean conformal bootstrap
    Bin Chen
    Peng-xiang Hao
    Reiko Liu
    Zhe-fei Yu
    Journal of High Energy Physics, 2021
  • [47] On Galilean conformal bootstrap
    Chen, Bin
    Hao, Peng-xiang
    Liu, Reiko
    Yu, Zhe-fei
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (06)
  • [48] Left-symmetric superalgebra structures on the super Galilean conformal algebra
    Hassan, Omer
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (03) : 923 - 939
  • [49] 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
  • [50] LOOP ALGEBRAS AND THEIR RELATION TO THE CONFORMAL STRUCTURE OF INTEGRABLE SYSTEMS
    OLAFSSON, S
    LETTERS IN MATHEMATICAL PHYSICS, 1990, 19 (01) : 35 - 44