Pointed Hopf algebras: a guided tour to the liftings
Iv\'an Angiono, Agust\'in Garc\'ia Iglesias

TL;DR
This paper surveys the classification of finite-dimensional pointed Hopf algebras with abelian coradical and provides a detailed guide for constructing their liftings, exemplified by the classification of type B2.
Contribution
It offers a comprehensive overview of the classification process and introduces a step-by-step method for constructing liftings of graded Hopf algebras.
Findings
Classification of pointed Hopf algebras of type B2 completed
Detailed methodology for constructing liftings provided
Survey of existing classification results included
Abstract
This article serves a two-fold purpose. On the one hand, it is a survey about the classification of finite-dimensional pointed Hopf algebras with abelian coradical, whose final step is the computation of the liftings or deformations of graded Hopf algebras. On the other, we present a step-by-step guide to carry out the strategy developed to construct the liftings. As an example, we conclude the work with the classification of pointed Hopf algebras of type .
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.
