A comonadicity theorem for partial comodules

Autor:	Batista, Eliezer, Hautekiet, William, Vercruysse, Joost
Rok vydání:	2022
Předmět:	Mathematics - Rings and Algebras Mathematics - Category Theory Mathematics - Quantum Algebra Mathematics - Representation Theory Primary 16T05 16T15 18C20 Secondary 16S40 20G05 20G42
Druh dokumentu:	Working Paper
Popis:	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. Comment: 38 pages, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.08596 Zobrazit plný text záznamu View this record from Arxiv