A class of uniformly bounded simple Z-graded Lie conformal algebras

被引:0
|
作者
Xu, Maosen [1 ]
机构
[1] Shaoxing Univ, Sch Math Informat, Shaoxing 312000, Peoples R China
关键词
Z-graded simple Lie conformal; algebra; Quadratic Lie conformal algebra; Gel'fand-Dorfman algerba;
D O I
10.1016/j.jalgebra.2025.01.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we classify the following simple Z-graded Lie conformal algebras L = (R) i is an element of Z Li such that (1) rankLi <= 1, (2) L0 is the Virasoro Lie conformal algebra. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码:95 / 117
页数:23
相关论文
共 50 条
  • [21] On a Class of Infinite Simple Lie Conformal Algebras
    Hong, Yanyong
    Pan, Yang
    Chen, Haibo
    ALGEBRAS AND REPRESENTATION THEORY, 2022, 25 (04) : 801 - 822
  • [22] Z-graded identities of the Lie algebras U1 in characteristic 2
    Fidelis, Claudemir
    Koshlukov, Plamen
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2023, 174 (01) : 49 - 58
  • [23] Z x Z-graded Lie algebras generated by the Virasoro algebra and sl2
    Su, YC
    Zhang, JF
    Zhao, K
    MATHEMATISCHE NACHRICHTEN, 2002, 246 : 188 - 201
  • [24] Embedding theorem of Z-graded Lie superalgebras
    Zhang, YZ
    Shen, GY
    SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (10): : 1009 - 1016
  • [25] Embedding theorem of Z-graded Lie superalgebras
    张永正
    沈光宇
    ScienceinChina,SerA., 1998, Ser.A.1998 (10) : 1009 - 1016
  • [26] Z-graded Hom-Lie superalgebras
    Farhangdoost, Mohammad Reza
    Polsangi, Ahmad Reza Attari
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2022, 101 (3-4): : 309 - 324
  • [27] Embedding theorem of Z-graded Lie superalgebras
    张永正
    沈光宇
    Science China Mathematics, 1998, (10) : 1009 - 1016
  • [28] Universal Baxterization for Z-graded Hopf algebras
    Dancer, K. A.
    Finch, P. E.
    Isaac, P. S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (50) : F1069 - F1075
  • [29] Restricted modules over some DOUBLE-STRUCK CAPITAL Z-graded Lie algebras
    Gao, Dongfang
    Xu, Chengkang
    Zhao, Yueqiang
    COMMUNICATIONS IN ALGEBRA, 2023, 51 (11) : 4597 - 4603
  • [30] A CLASSIFICATION OF Z-GRADED LIE SUPERALGEBRAS OF INFINITE DEPTH
    Cantarini, Nicoletta
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2002, 1 (04) : 425 - 449