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arXiv · 2205.08596

A comonadicity theorem for partial comodules

Eliezer Batista·William Hautekiet·Joost Vercruysse
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Abstract

We show that the category of partial comodules over a Hopf algebra $H$ is comonadic over ${\sf Vect}_k$ 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.

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Eliezer Batista, William Hautekiet, Joost Vercruysse. 2022-05-17. A comonadicity theorem for partial comodules. https://arxiv.org/abs/2205.08596

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