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<p>We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Ševera’s construction of Hopf monoids through <i>M</i>-adapted functors. We discuss the example of the Hopf category whose underlying class is the set of twists of a Lie bialgebra. Finally, we apply the result to the setting of deformed categories.</p>

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Hopf Categories Associated to Comonoidal Functors

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月3日

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  • Andrea Rivezzi

摘要

We provide an explicit construction of Hopf categories associated to comonoidal functors, generalizing Ševera’s construction of Hopf monoids through M-adapted functors. We discuss the example of the Hopf category whose underlying class is the set of twists of a Lie bialgebra. Finally, we apply the result to the setting of deformed categories.