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<p>Let <i>H</i> be a Hopf group coalgebra with a bijective antipode and <i>A</i> an <i>H</i>-comodule Poisson algebra. In this paper, we mainly generalize the fundamental theorem of Poisson Hopf modules to the case of Hopf group coalgebras. Finally we deduce the relative projectivity in the category of Poisson Hopf modules.</p>

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Poisson Hopf Module Fundamental Theorem for Hopf Group Coalgebras

  • 期刊论文

  • 发表日期：

    2026年3月20日

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  • Daowei Lu,
  • Dingguo Wang

摘要

Let H be a Hopf group coalgebra with a bijective antipode and A an H-comodule Poisson algebra. In this paper, we mainly generalize the fundamental theorem of Poisson Hopf modules to the case of Hopf group coalgebras. Finally we deduce the relative projectivity in the category of Poisson Hopf modules.