Cosemisimple Hopf algebras are faithfully flat over Hopf subalgebras.

DOI10.2140/ant.2014.8.1179zbMath1346.16026arXiv1110.6701OpenAlexW2008565461MaRDI QIDQ457329

Alexandru Chirvasitu

Publication date: 26 September 2014

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6701

zbMATH Keywords

module coalgebrascosemisimple Hopf algebrascosemisimple Hopf subalgebrasfaithfully flat Hopf algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (16)

Flatness over PI coideal subalgebras ⋮ On the monoidal invariance of the cohomological dimension of Hopf algebras ⋮ On the \({\ell}^2\)-Betti numbers of universal quantum groups ⋮ Fundamental isomorphism theorems for quantum groups ⋮ Equivalent notions of normal quantum subgroups, compact quantum groups with properties \(F\) and \(FD\), and other applications ⋮ Normal subgroups and relative centers of linearly reductive quantum groups ⋮ Operator algebras of free wreath products ⋮ Epimorphic quantum subgroups and coalgebra codominions ⋮ Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras ⋮ NON-AFFINE HOPF ALGEBRA DOMAINS OF GELFAND–KIRILLOV DIMENSION TWO ⋮ Centers, cocenters and simple quantum groups ⋮ Relative Fourier transforms and expectations on coideal subalgebras ⋮ On the Hopf (co)center of a Hopf algebra ⋮ The link-indecomposable components of Hopf algebras and their products ⋮ Categorical aspects of compact quantum groups ⋮ Free wreath products with amalgamation

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