The structure of connected (graded) Hopf algebras revisited

DOI10.1016/J.JALGEBRA.2022.07.031OpenAlexW3198580024MaRDI QIDQ2675083

Yanyan Li

Publication date: 20 September 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.01882

zbMATH Keywords

Gelfand-Kirillov dimensionLyndon wordconnected Hopf algebraHopf Ore extension

Mathematics Subject Classification ID

Combinatorics on words (68R15) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Artin-Schelter regular algebras of dimension five with two generators.
• Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two.
• Biinvertible actions of Hopf algebras
• Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
• Graded and filtered rings and modules
• The structure of connected (graded) Hopf algebras
• Modules over regular algebras of dimension 3
• A natural ring basis for the shuffle algebra and an application to group schemes
• Ore extensions of Hopf algebras.
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Hopf Ore extensions
• Monomial algebras defined by Lyndon words.
• Connected Hopf algebras and iterated Ore extensions.
• PBW bases for a class of braided Hopf algebras.
• Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• Algebras defined by Lyndon words and Artin-Schelter regularity
• Connected (graded) Hopf algebras
• Connected Hopf algebras of Gelfand-Kirillov dimension four

This page was built for publication: The structure of connected (graded) Hopf algebras revisited