Hopf Categories Associated to Comonoidal Functors
Abstract 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.
Authors
- Andrea Rivezzi (ORCID: https://orcid.org/0000-0002-2356-9887)
Institutions
- Charles University (CZ)
Publication Details
- Journal
- Applied Categorical Structures
- Published
- 2026-01-03
- DOI
- https://doi.org/10.1007/s10485-025-09843-x
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni