NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO

DOI10.1017/S0017089516000410zbMath1396.16024arXiv1606.04177OpenAlexW2963340173MaRDI QIDQ5369110

James J. Zhang, Kenneth R. Goodearl

Publication date: 13 October 2017

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04177

zbMATH Keywords

integral domainsGelfand-Kirillov dimensionnon-affine Hopf algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Growth rate, Gelfand-Kirillov dimension (16P90) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05)

Related Items (5)

Survey on Hopf algebras of GK-dimension 1 and 2 ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ The nodal cubic and quantum groups at roots of unity ⋮ Primitive cohomology of Hopf algebras ⋮ Iterated Hopf Ore extensions in positive characteristic

Cites Work

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• Cosemisimple Hopf algebras are faithfully flat over Hopf subalgebras.
• Noetherian Hopf algebra domains of Gelfand-Kirillov dimension two.
• Biinvertible actions of Hopf algebras
• Primitive cohomology of Hopf algebras
• New results on the bijectivity of antipode of a Hopf algebra.
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Relative Hopf modules - equivalences and freeness criteria
• Pointed Hopf algebras are free over Hopf subalgebras
• Ore extensions of Hopf algebras.
• Connected Hopf algebras and iterated Ore extensions.
• Hopf algebras of GK-dimension two with vanishing Ext-group
• A correspondence between Hopf ideals and sub-Hopf algebras
• Hopf algebras under finiteness conditions
• Properties of pointed and connected Hopf algebras of finite Gelfand-Kirillov dimension
• Lower bounds of growth of Hopf algebras
• On the Dimension of Modules and Algebras IX: Direct Limits
• A Hopf Algebra Freeness Theorem
• Operators on Hopf Algebras
• Noetherian PI Hopf algebras are Gorenstein
• Gelfand-kirillov dimension of skew polynomial rings of automorphism type
• Homological integral of Hopf algebras
• NOETHERIAN HOPF ALGEBRAS
• Upper Bounds on Homological Dimensions

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