Weak Hopf algebras arising from weak matched pairs
Abstract
This work extends the idea of matched pairs presented by Takeuchi in the context of weak bialgebras and weak Hopf algebras. We introduce, also inspired by partial matched pairs, the notion of weak matched pairs and establish conditions for a subspace of the smash product be a weak bialgebra/Hopf algebra. Further, some new examples of (co)actions of weak bialgebras over algebras and some results about integral elements are presented.
Fields of Study & Subjects
Advanced Operator Algebra Research
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Publication details
- Journal / source
- Communications in Algebra
- Volume
- 54
- Issue
- 7
- Pages
- 2817–2846
- Publication date
- 7 January 2026
- Language
- EN