Iterated Hopf Ore extensions in positive characteristic

DOI10.4171/JNCG/453WikidataQ114021471 ScholiaQ114021471MaRDI QIDQ2105633

Yanyan Li

Publication date: 8 December 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14702

zbMATH Keywords

positive characteristicHopf algebrapolynomial identityNakayama automorphismOre extensionHopf Ore extensionPBW deformation

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Hopf algebras and their applications (16T05)

Related Items (1)

Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras

Cites Work

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• A PI degree theorem for quantum deformations
• Identities with a single skew derivation.
• Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two.
• Primitive cohomology of Hopf algebras
• The structure of connected (graded) Hopf algebras
• Higher symplectic reflection algebras and non-homogeneous \(N\)-Koszul property.
• New results on the bijectivity of antipode of a Hopf algebra.
• Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
• Differential identities of prime rings
• Ordres maximaux au sens de K. Asano
• Unipotent algebraic groups
• Darstellungen auflösbarer Lie-p-Algebren
• The Cohen Macaulay property for noncommutative rings
• Ore extensions of Hopf algebras.
• Hopf Ore extensions
• Connected Hopf algebras and iterated Ore extensions.
• Primitive deformations of quantum \(p\)-groups
• Isomorphism classes of finite dimensional connected Hopf algebras in positive characteristic.
• Connected Hopf algebras of dimension \(p^2\).
• Hopf algebras of GK-dimension two with vanishing Ext-group
• Ore extensions which are GPI-rings.
• Classification of connected Hopf algebras of dimension \(p^3\). I.
• Affine Hopf algebras. I
• Irreducible representations of Lie \(p\)-algebras
• Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension
• A non-restricted counterexample to the first Kac–Weisfeiler conjecture
• Semisimplicity criteria for irreducible Hopf algebras in positive characteristic
• Representations of restricted Lie algebras and families of associative ℒ-algebras
• Injective homogeneity and homological homogeneity of the ore extensions
• Noetherian PI Hopf algebras are Gorenstein
• Notes on Extensions of Hopf Algebras
• Pro-algebraic and differential algebraic group structures on affine spaces
• Survey on Hopf algebras of GK-dimension 1 and 2
• NAKAYAMA AUTOMORPHISMS OF ORE EXTENSIONS OVER POLYNOMIAL ALGEBRAS
• Connected (graded) Hopf algebras
• A proof of the first Kac–Weisfeiler conjecture in large characteristics
• Connected Hopf algebras of Gelfand-Kirillov dimension four
• Homological integral of Hopf algebras
• NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO
• ORE EXTENSIONS SATISFYING A POLYNOMIAL IDENTITY
• Cocommutative Hopf algebras with antipode
• Irreducible representations of a simple three-dimensional lie algebra over a field of finite characteristic
• ON REPRESENTATIONS OF CLASSICAL SEMISIMPLE LIE ALGEBRAS OF CHARACTERISTICp
• A Note on Lie Algebras of Characteristic p

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