Hopf Categories Associated to Comonoidal Functors
Abstract
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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Publication details
- Journal / source
- Applied Categorical Structures
- Volume
- 34
- Issue
- 1
- Publication date
- 3 January 2026
- Language
- EN