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Deformed commutators on comodule algebras over coquasitriangular Hopf algebras

Tom 139 / 2015

Zhongwei Wang, Guoyin Zhang, Liangyun Zhang Colloquium Mathematicum 139 (2015), 165-183 MSC: Primary 16T05; Secondary 81R50. DOI: 10.4064/cm139-2-2

Streszczenie

We construct quantum commutators on comodule algebras over coquasitriangular Hopf algebras, so that they are quantum group coinvariant and have the generalized antisymmetry and Leibniz properties. If the coquasitriangular Hopf algebra is additionally cotriangular, then the quantum commutators satisfy a generalized Jacobi identity, and turn the comodule algebra into a quantum Lie algebra. Moreover, we investigate the projective and injective dimensions of some Doi-Hopf modules over a quantum commutative comodule algebra.

Autorzy

  • Zhongwei WangDepartment of Basic Sciences
    Jinling Institute of Technology
    Nanjing 211169, P.R. China
  • Guoyin ZhangDepartment of Basic Sciences
    Jinling Institute of Technology
    Nanjing 211169, P.R. China
  • Liangyun ZhangCollege of Science
    Nanjing Agricultural University
    Nanjing 210095, P.R. China
    e-mail

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