Torsion simple modules over the quantum spatial ageing algebra

被引:3
|
作者
Bavula, V. V. [1 ]
Lu, T. [1 ]
机构
[1] Univ Sheffield, Dept Pure Math, Hicks Bldg, Sheffield S3 7RH, S Yorkshire, England
关键词
A denominator set; a graded algebra; a graded module; an Ore set; centralizer; simple module; the quantum spatial ageing algebra; torsion module; weight module; JORDAN PLANE; REPRESENTATIONS;
D O I
10.1080/00927872.2016.1240177
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Various classes of simple torsion modules are classified over the quantum spatial ageing algebra (this is a Noetherian algebra of Gelfand-Kirillov dimension 4). Explicit constructions of these modules are given and for each module its annihilator is found.
引用
收藏
页码:4166 / 4189
页数:24
相关论文
共 50 条
  • [1] The Prime Spectrum and Simple Modules Over the Quantum Spatial Ageing Algebra
    V. V. Bavula
    T. Lu
    Algebras and Representation Theory, 2016, 19 : 1109 - 1133
  • [2] The Prime Spectrum and Simple Modules Over the Quantum Spatial Ageing Algebra
    Bavula, V. V.
    Lu, T.
    ALGEBRAS AND REPRESENTATION THEORY, 2016, 19 (05) : 1109 - 1133
  • [3] Classification of Simple Weight Modules Over the 1-Spatial Ageing Algebra
    Lu, Rencai
    Mazorchuk, Volodymyr
    Zhao, Kaiming
    ALGEBRAS AND REPRESENTATION THEORY, 2015, 18 (02) : 381 - 395
  • [4] Classification of Simple Weight Modules Over the 1-Spatial Ageing Algebra
    Rencai Lü
    Volodymyr Mazorchuk
    Kaiming Zhao
    Algebras and Representation Theory, 2015, 18 : 381 - 395
  • [5] Simple modules over the multiparameter quantum function algebra at roots of 1
    Costantini M.
    Transformation Groups, 1998, 3 (2) : 115 - 134
  • [6] MODULES OVER A QUANTUM WEYL ALGEBRA
    DEMIDOV, EE
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1993, (01): : 53 - 56
  • [7] Simple Singular Whittaker Modules Over the Schrodinger Algebra
    Cai, Yan-an
    Zhang, Xiufu
    COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2019, 7 (04) : 475 - 483
  • [8] ON BRAUER ALGEBRA SIMPLE MODULES OVER THE COMPLEX FIELD
    De Visscher, Maud
    Martin, Paul P.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (03) : 1579 - 1609
  • [9] A family of simple weight modules over the Virasoro algebra
    Lu, Rencai
    Zhao, Kaiming
    JOURNAL OF ALGEBRA, 2017, 479 : 437 - 460
  • [10] Classification of Simple Weight Modules over the Schrodinger Algebra
    Bavula, V. V.
    Lu, T.
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (01): : 16 - 39