Multiplier Infinitesimal Bialgebras and Derivator Lie Bialgebras
Jesus Alonso Ochoa Arango, Alejandro Tiraboschi, and Shuanhong Wang

TL;DR
This paper introduces the concepts of multiplier infinitesimal bialgebras and derivator Lie bialgebras, providing foundational definitions, examples, and establishing a connection between these structures.
Contribution
It defines new algebraic structures and demonstrates how multiplier infinitesimal bialgebras relate to multiplier Lie bialgebras, advancing the theoretical framework.
Findings
Defined multiplier infinitesimal bialgebras and derivator Lie bialgebras
Provided examples of these structures
Proved that bibalanced multiplier infinitesimal bialgebras induce multiplier Lie bialgebras
Abstract
We propose a definition of multiplier infinitesimal bialgebra and a definition of derivator Lie bialgebra. We give some examples of these structures and prove that every bibalanced multiplier infinitesimal bialgebra gives rise to a multiplier Lie 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
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research
