On infinite-dimensional Hopf algebras
Nicol\'as Andruskiewitsch
TL;DR
This survey explores the structure and properties of pointed Hopf algebras with finite Gelfand-Kirillov dimension, focusing on aspects of infinite-dimensional Hopf algebra theory.
Contribution
It provides a comprehensive overview of the current state of research on pointed Hopf algebras with finite Gelfand-Kirillov dimension and their relation to infinite-dimensional Hopf algebras.
Findings
Classification results for pointed Hopf algebras with finite Gelfand-Kirillov dimension
Connections between finite-dimensional and infinite-dimensional Hopf algebra theory
Open problems and future directions in the study of infinite-dimensional Hopf algebras
Abstract
This is a survey on pointed Hopf algebras with finite Gelfand-Kirillov dimension and related aspects of the theory of infinite-dimensional Hopf algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research