Lower bounds of growth of Hopf algebras

DOI10.1090/S0002-9947-2013-05793-5zbMath1286.16030arXiv1101.1116OpenAlexW2045312478MaRDI QIDQ2847129

Guangbin Zhuang, Dingguo Wang, James J. Zhang

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1116

zbMATH Keywords

group-like elementsGelfand-Kirillov dimensionskew primitive elementsfinitely generated Hopf algebrasgrowth of Hopf algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items

Classification of affine prime regular Hopf algebras of GK-dimension one., The finite dual of commutative-by-finite Hopf algebras, Quantum binary polyhedral groups and their actions on quantum planes, On endomorphisms of crossed products, NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO, Hopf algebras of GK-dimension two with vanishing Ext-group, Filtered Hopf algebras and counting geodesic chords, A classification result on prime Hopf algebras of GK-dimension one, Primitive cohomology of Hopf algebras, Connected Hopf algebras of Gelfand-Kirillov dimension four

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