Weak bialgebras and monoidal categories
G. B\"ohm, S. Caenepeel, K. Janssen
TL;DR
This paper explores the monoidal structures on categories of modules over weak bialgebras, extending previous results to infinite algebras and analyzing their coalgebra structures.
Contribution
It unifies and extends existing results on monoidal categories of (co)modules over weak bialgebras to include infinite-dimensional cases.
Findings
Unified and extended results on monoidal structures for weak bialgebras.
Analyzed coalgebra structures on source and target spaces.
Generalized previous finite-dimensional results to infinite algebras.
Abstract
We study monoidal structures on the category of (co)modules over a weak bialgebra. Results due to Nill and Szlach\'anyi are unified and extended to infinite algebras. We discuss the coalgebra structure on the source and target space of a weak bialgebra.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons