Connected Hopf algebras of Gelfand-Kirillov dimension four

DOI10.1090/S0002-9947-2015-06219-9zbMath1330.16022arXiv1302.2270MaRDI QIDQ5251608

Dingguo Wang, Guangbin Zhuang, James J. Zhang

Publication date: 20 May 2015

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

Full work available at URL: https://arxiv.org/abs/1302.2270

zbMATH Keywords

Hopf algebrasuniversal enveloping algebrasGelfand-Kirillov dimensioncoassociative Lie algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Universal enveloping (super)algebras (17B35) Hopf algebras and their applications (16T05)

Related Items

Classification of affine prime regular Hopf algebras of GK-dimension one. ⋮ Survey on Hopf algebras of GK-dimension 1 and 2 ⋮ Realization of PBW-deformations of type \(\mathbb{A}_n\) quantum groups via multiple Ore extensions ⋮ The structure of connected (graded) Hopf algebras revisited ⋮ Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras ⋮ Finite GK-dimensional Nichols algebras over the infinite dihedral group ⋮ The bicrossed products of $H_4$ and $H_8$ ⋮ GK dimension of some connected Hopf algebras ⋮ A classification result on prime Hopf algebras of GK-dimension one ⋮ Primitive cohomology of Hopf algebras ⋮ Connected (graded) Hopf algebras ⋮ The structure of connected (graded) Hopf algebras ⋮ Iterated Hopf Ore extensions in positive characteristic ⋮ Quantum homogeneous spaces of connected Hopf algebras

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