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A comonadicity theorem for partial comodules

par Batista, Eliezer;Hautekiet, William ;Vercruysse, Joost
Référence Quaestiones mathematicae
Publication Publié, 2024-07-01

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Résumé :

We show that the category of partial comodules over a Hopf algebra H is comonadic over Vectk and provide an explicit construction of this comonad using topological vector spaces. The case when H is finite-dimensional is treated in detail. A study of partial representations of linear algebraic groups is initiated; we show that a connected linear algebraic group does not admit partiality.