Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups

DOI10.1006/jabr.1997.7238zbMath0902.16028OpenAlexW2081008770MaRDI QIDQ1383958

Luzius Grunenfelder, Sorin Dascalescu, Beattie, Margaret, Constantin Năstăsescu

Publication date: 13 October 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7238

zbMATH Keywords

finiteness conditionsOre extensionsco-Frobenius Hopf algebrasinfinite-dimensional coalgebrasleft semiperfect coalgebrasorders of antipodesuniqueness of integrals

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items

Ore Extensions of Multiplier Hopf Algebras, The Drinfel'd double versus the Heisenberg double for an algebraic quantum group., Twisted tensor coproduct of multiplier Hopf algebras., Symmetric coalgebras., Quasitriangular (\(G\)-cograded) multiplier Hopf algebras., Radford's \(S^4\) formula for co-Frobenius Hopf algebras., On the dimension of the space of integrals on coalgebras., The Bijectivity of the Antipode Revisited, Multiplier Hopf algebras in categories and the biproduct construction., Integrals for (dual) quasi-Hopf algebras. Applications, A lot of quasitriangular group-cograded multiplier Hopf algebras., Twisted tensor product of multiplier Hopf (*-)algebras., Constructing pointed Hopf algebras by Ore extensions, BICROSSPRODUCTS OF ALGEBRAIC QUANTUM GROUPS, A-H-BIMODULES AND EQUIVALENCES, DG-Modules vs. Relative Hopf Modules, Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\), Co-Frobenius Hopf algebras: Integrals, Doi-Koppinen modules and injective objects, On Hopf Algebras with Nonzero Integral, On the Antipode of a Co-Frobenius (Co)Quasitriangular Hopf Algebra, Constructing Quasitriangular Multiplier Hopf Algebras By Twisted Tensor Coproducts, Strongly rational comodules and semiperfect Hopf algebras over QF rings, A co-Frobenius Hopf algebra with a separable Galois extension is finite

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