Survey on Hopf algebras of GK-dimension 1 and 2
Ken Brown, James J. Zhang
TL;DR
This survey reviews the current progress and open questions in classifying infinite dimensional Hopf algebras with Gel'fand-Kirillov dimension one or two, highlighting key challenges and future research directions.
Contribution
It compiles and discusses the latest developments, open problems, and potential research paths in the classification of low GK-dimension Hopf algebras.
Findings
Summary of recent classification results
Identification of key open problems
Suggested directions for future research
Abstract
This is a brief survey on the current state of play on the programs to classify infinite dimensional Hopf algebras of Gel'fand-Kirillov dimension one or two. We list a number of open questions and suggest directions for future work.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology