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Wedderburn–Malcev and Levi theorems for weak Hopf algebras

Volume 154 / 2018

Zhongwei Wang, Yong Wang, Liangyun Zhang Colloquium Mathematicum 154 (2018), 77-96 MSC: 16T05, 16T25, 18D10. DOI: 10.4064/cm7335-10-2017 Published online: 27 July 2018

Abstract

Let $H$ be a weak Hopf algebra. We mainly investigate the Wedderburn–Malcev theorem and the Levi theorem for weak $H$-comodule (or Lie) algebras by using total integrals and normalized integrals.

Authors

  • Zhongwei WangDepartment of Mathematics
    Southeast University
    Nanjing, Jiangsu, 210096, P.R. China
    and
    Department of Basic Sciences
    Jinling Institute of Technology
    Nanjing, Jiangsu, 211169, P.R. China
    e-mail
  • Yong WangSchool of Information Engineering
    Nanjing Xiaozhuang University
    Nanjing, Jiangsu, 211169, P.R. China
    e-mail
  • Liangyun ZhangCollege of Science
    Nanjing Agricultural University
    Nanjing, Jiangsu, 210095, P.R. China
    e-mail

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