A comonadicity theorem for partial comodules

Abstract

AbstractWe 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.Mathematics Subject Classification (2020): Primary: 16T0516T1518C20Secondary: 16S4020G0520G42Key words: Partial corepresentationpartial comodulescomonadicitytopological coalgebra

Locations

• Quaestiones Mathematicae - View
• arXiv (Cornell University) - View - PDF
• Dépôt institutionnel de l'Université libre de Bruxelles (Université Libre de Bruxelles) - View - PDF