Liftings of Jordan and super Jordan planes
Nicol\'as Andruskiewitsch, Iv\'an Angiono, Istv\'an Heckenberger

TL;DR
This paper classifies certain finite-dimensional pointed Hopf algebras with specific infinitesimal braiding structures, identifying new classes as liftings of Jordan or super Jordan planes over particular groups.
Contribution
It provides a classification of new pointed Hopf algebras with non-diagonal infinitesimal braiding of dimension 2, expanding understanding of their structure and origins.
Findings
Identified new classes of Hopf algebras as liftings of Jordan and super Jordan planes
Classified pointed Hopf algebras with non-diagonal infinitesimal braiding of dimension 2
Connected these algebras to nilpotent-by-finite groups
Abstract
We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension whose infinitesimal braiding has dimension 2 but is not of diagonal type, or equivalently is a block. These Hopf algebras are new and turn out to be liftings of either a Jordan or a super Jordan plane over a nilpotent-by-finite group.
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.
