A note on the order of the antipode of a pointed Hopf algebra

DOI10.1080/00927872.2018.1541459zbMath1470.16061arXiv1611.03480OpenAlexW2604276423WikidataQ128588736 ScholiaQ128588736MaRDI QIDQ5382966

Paul Gilmartin

Publication date: 19 June 2019

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

Full work available at URL: https://arxiv.org/abs/1611.03480

zbMATH Keywords

quantum groupHopf algebrapointed Hopf algebranoncommutative ring theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Cites Work

• Quantum homogeneous spaces of connected Hopf algebras
• Biinvertible actions of Hopf algebras
• Lectures on algebraic quantum groups
• On antipodes in pointed Hopf algebras
• Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension
• Hopf Algebras
• Hopf Algebras with Nonsemisimple Antipode
• The Order of the Antipode of a Finite Dimensional Hopf Algebra is Finite

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