Classification of affine prime regular Hopf algebras of GK-dimension one.

DOI10.1016/j.aim.2016.03.037zbMath1350.16024arXiv1410.7497OpenAlexW2964315473MaRDI QIDQ277978

Jinyong Wu, Gongxiang Liu, Nan Qing Ding

Publication date: 2 May 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7497

zbMATH Keywords

affine Noetherian Hopf algebrasGel'fand-Kirillov dimension onehomological integralsprime regular 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) Noetherian rings and modules (associative rings and algebras) (16P40) Hopf algebras and their applications (16T05)

Related Items (14)

Survey on Hopf algebras of GK-dimension 1 and 2 ⋮ Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ The finite dual of commutative-by-finite Hopf algebras ⋮ Affine commutative-by-finite Hopf algebras ⋮ A COMBINATORIAL IDENTITY AND THE FINITE DUAL OF INFINITE DIHEDRAL GROUP ALGEBRA ⋮ The Grothendieck rings of Wu–Liu–Ding algebras and their Casimir numbers (I) ⋮ Finite GK-dimensional Nichols algebras over the infinite dihedral group ⋮ A classification result on prime Hopf algebras of GK-dimension one ⋮ Primitive cohomology of Hopf algebras ⋮ Note on the Coradical Filtration ofD(m,d, ξ) ⋮ The link-indecomposable components of Hopf algebras and their products ⋮ The structure of connected (graded) Hopf algebras ⋮ The Grothendieck rings of Wu-Liu-Ding algebras and their Casimir numbers (II) ⋮ Frobenius-Perron theory of representations of quivers

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