Three infinite families of reflection Hopf algebras

DOI10.1016/j.jpaa.2020.106315zbMath1437.16024arXiv1810.12935OpenAlexW2899403784WikidataQ126399661 ScholiaQ126399661MaRDI QIDQ1985747

Luigi Ferraro, Ellen E. Kirkman, Robert Won, W. Frank Moore

Publication date: 7 April 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12935

zbMATH Keywords

Artin-Schelter regular algebrainner-faithful actionreflection Hopf algebra

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representations of associative Artinian rings (16G10) Hopf algebras and their applications (16T05)

Related Items (6)

A note on the discriminant of reflection Hopf algebras ⋮ Semisimple reflection Hopf algebras of dimension sixteen ⋮ The Grothendieck ring of Yetter-Drinfeld modules over a class of 2n²-dimensional Kac-Paljutkin Hopf algebras ⋮ Superpotentials and quiver algebras for semisimple Hopf actions ⋮ Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras ⋮ Degree bounds for Hopf actions on Artin-Schelter regular algebras

Cites Work

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• Quantum binary polyhedral groups and their actions on quantum planes
• Hopf algebra deformations of binary polyhedral groups.
• Biinvertible actions of Hopf algebras
• Mckay correspondence for semisimple Hopf actions on regular graded algebras. I
• Nakayama automorphism and rigidity of dual reflection group coactions
• Rigidity of down-up algebras with respect to finite group coactions
• Invariant theory of finite group actions on down-up algebras
• McKay correspondence for semisimple Hopf actions on regular graded algebras. II
• Mystic reflection groups.
• Gorenstein subrings of invariants under Hopf algebra actions.
• Invariants of (-1)-Skew Polynomial Rings under Permutation Representations
• Rigidity of graded regular algebras
• Burnside's Theorem for Hopf Algebras
• A class of semisimple Hopf algebras acting on quantum polynomial algebras
• Complete Sets of Representations of Algebras
• A Note on Theorems of Burnside and Blichfeldt
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections
• Classification of semisimple Hopf algebras of dimension 16

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