Ore extensions of Hopf algebras.

DOI10.1023/A:1026115004357zbMath1071.16035OpenAlexW189006889MaRDI QIDQ1889550

A. N. Panov

Publication date: 2 December 2004

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

Full work available at URL: https://doi.org/10.1023/a:1026115004357

zbMATH Keywords

group algebrasquantum groupsquantum universal enveloping algebrasOre extensionscocommutative Hopf algebras

Mathematics Subject Classification ID

Related Items (28)

Ore Extensions of Multiplier Hopf Algebras ⋮ 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 ⋮ \(D\)-groups and the Dixmier-Moeglin equivalence ⋮ Generalized Hopf-Ore extensions ⋮ Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras ⋮ Hopf-Galois algebras and their Poisson structures ⋮ Almost involutive Hopf-Ore extensions of low dimension ⋮ The structure of connected (graded) Hopf algebras revisited ⋮ Hopf monads: a survey with new examples and applications ⋮ Representations of Hopf-Ore extensions of group algebras ⋮ Unnamed Item ⋮ A class of quantum doubles of pointed Hopf algebras of rank one ⋮ Hopf Ore extensions ⋮ NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO ⋮ The bicrossed products of $H_4$ and $H_8$ ⋮ Derivations and automorphisms of the positive part of the two-parameter quantum group \(U_{r,s}(B_{3})\) ⋮ Yetter-Drinfeld modules over the Hopf-Ore extension of the group algebra of dihedral group. ⋮ Connected Hopf algebras and iterated Ore extensions. ⋮ Ore extensions of quasitriangular Hopf group coalgebras ⋮ Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type ⋮ Primitive cohomology of Hopf algebras ⋮ Ore extensions of automorphism type for Hopf algebras ⋮ Green ring of the category of weight modules over the Hopf–Ore extensions of group algebras ⋮ Panov’s theorem for weak Hopf algebras ⋮ Ore extensions of Hopf coquasigroups. ⋮ Iterated Hopf Ore extensions in positive characteristic ⋮ Representations of Hopf-Ore extensions of group algebras and pointed Hopf algebras of rank one.

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