Finite dimensional cosemisimple Hopf algebras in characteristic 0 are semisimple
From MaRDI portal
Publication:1105662
DOI10.1016/0021-8693(88)90107-XzbMath0649.16005MaRDI QIDQ1105662
David E. Radford, Richard Gustavus Larson
Publication date: 1988
Published in: Journal of Algebra (Search for Journal in Brave)
Related Items
On the even powers of the antipode of a finite-dimensional Hopf algebra, (đ°đ©2)-Invariant Forms on Their Modules, HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES, On the Grothendieck rings of generalized Drinfeld doubles, Classification of affine prime regular Hopf algebras of GK-dimension one., Semisimple weak Hopf algebras., Hopf algebras of dimension \(pq\)., Depth two Hopf subalgebras of a semisimple Hopf algebra., Involutory quasi-Hopf algebras., On Kaplansky's sixth conjecture, On the monoidal invariance of the cohomological dimension of Hopf algebras, Invariants from the Sweedler power maps on integrals, Polynomial invariants for a semisimple and cosemisimple Hopf algebra of finite dimension., On faithfulness of the lifting for Hopf algebras and fusion categories, Depth one extensions of semisimple algebras and Hopf subalgebras., Representations of finite-dimensional Hopf algebras, Invariants of the action of a semisimple Hopf algebra on PI-algebra, The set of types of \(n\)-dimensional semisimple and cosemisimple Hopf algebras is finite, On antipodes and integrals in Hopf algebras over rings and the quantum Yang-Baxter equation, The planar algebra of a semisimple and cosemisimple Hopf algebra, Radford's \(S^4\) formula for co-Frobenius Hopf algebras., The Grothendieck group of a Hopf algebra, Semisimple Hopf algebras via geometric invariant theory, Handlebody-knot invariants derived from unimodular Hopf algebras, Cosemisimple bialgebras and discrete quantum semigroups, Affine commutative-by-finite Hopf algebras, Quantum groups of dimension \(pq^2\), Hopf algebras of order \(p^2\) and braided Hopf algebras of order \(p\), Gauge invariants from the powers of antipodes, Noninvolutory Hopf algebras and \(3\)-manifold invariants, Normal Hopf subalgebras of semisimple Drinfeld doubles., On Tate duality and a projective scalar property for symmetric algebras, Representations and conjugacy classes of semisimple quasitriangular Hopf algebras, Nakayama automorphism and applications, Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms., The character table for a Hopf algebra arising from the Drinfel'd double., Pointed Hopf actions on fields. I., A note on Masuoka's theorem for semisimple irreducible Hopf algebras, Radford's Formula for Bifrobenius Algebras and Applications, On normal Hopf subalgebras of semisimple Hopf algebras., On indecomposable ideals over some algebras, Bialgebroid actions on depth two extensions and duality., \(\mathbb Z/2\mathbb Z\)-extensions of Hopf algebra module categories by their base categories, Kernels of representations of Drinfeld doubles of finite groups., Twisted Frobenius-Schur indicators for Hopf algebras., Basic Hopf algebras of tame type., Twisted exponents and twisted FrobeniusâSchur indicators for Hopf algebras, Finiteness of the number of coideal subalgebras, Splitting of the radical in finite-dimensional H-module algebras, Hopf algebras of dimension \(pq\). II., On Frobenius and separable Galois cowreaths, Some properties of factorizable Hopf algebras, A Maschke type theorem for weak group entwined modules and applications., On the antipode of Hopf algebras with the dual Chevalley property, \(\beta\)-character algebra and a commuting pair in Hopf algebras., The representation-theoretic rank of the doubles of quasi-quantum groups., Clifford theory for cocentral extensions., On Hopf algebras of dimension \(4p\)., Fusion rings arising from normal Hopf subalgebras., Central invariants and Frobenius-Schur indicators for semisimple quasi-Hopf algebras., On some representations of the Drinfel'd double., Ribbon transformations, integrals, and triangular decompositions., Invariant integration on classical and quantum Lie supergroups, Congruence subgroups and generalized Frobenius-Schur indicators, Mixed vs stable anti-Yetter-Drinfeld contramodules, Hopf Algebras, The quantum symmetry in nonbalanced Hopf spin models determined by a normal coideal subalgebra, On a symmetry of MĂŒger's centralizer for the Drinfeld double of a semisimple Hopf algebra., Representations of some Hopf algebras associated to the symmetric group \(S_n\)., On normal tensor functors and coset decompositions for fusion categories, The applications of probability groups on Hopf algebras, On Kaplansky's fifth conjecture, Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\), Coset Decomposition for Semisimple Hopf Algebras, Hopf algebras of low dimension, Hochschild cohomology and the coradical filtration of pointed coalgebras: Applications, The global dimensions of crossed products and crossed coproducts., Crossed Product of Hopf Algebras, Techniques for Classifying Hopf Algebras and Applications to Dimensionp3, A survey of Hopf algebras of low dimension., Irreducible representations of crossed products, On sovereign, balanced and ribbon quasi-Hopf algebras, Twisting Kuperberg invariants via Fox calculus and Reidemeister torsion, Tannaka duals in semisimple tensor categories, Separable functors for the category of Doi-Hopf modules, applications, On the structure of weak Hopf algebras, Computing the Frobenius-Schur indicator for Abelian extensions of Hopf algebras, Topological dualities in the Ising model, Non-semisimple Hopf algebras of dimension \(p^2\)., On twisting of finite-dimensional Hopf algebras., Regularity of involutory PI Hopf algebras., Self-dual modules of semisimple Hopf algebras., Fusion structures from quantum groups. II: Why truncation is necessary, Hopf extensions of algebras and Maschke type theorems, On the quasitriangular structures of a semisimple Hopf algebra, On indicators of Hopf algebras., From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories, Hopf powers and orders for some bismash products., Triviality theorems for Yetter-Drinfel'd Hopf algebras., Hopf group-coalgebras, Cohomology of finite tensor categories: Duality and Drinfeld centers, Noetherian PI Hopf algebras are Gorenstein, The wedderburn-malcev theorem for comodule algebras, Unnamed Item, Semiprime smash products and $H$-stable prime radicals for PI-algebras, Homological integral of Hopf algebras, The finite dual of commutative-by-finite Hopf algebras, Note on invariance and finiteness for the exponent of Hopf algebras, Freeness of hopf algebras over coideal subalgebras, Semisimple hopf algebras of dimension 2p, Non-simple quasitriangular Hopf algebras of dimension \(pq^2\), Matrix product operator algebras. II: Phases of matter for 1D mixed states, Some further classification results on semisimple hopf algebras, The $p^n$ theorem for semisimple Hopf algebras, Induced Modules of Semisimple Hopf Algebras, Structure of Semisimple Hopf Algebras of Dimensionp2q2, Plancherel identity for semisimple hopf algebras, A NOTE ON THE GLOBAL DIMENSION OF SMASH PRODUCTS, Hopf algebras and congruence subgroups, Structure Theorems for Semisimple Hopf Algebras of Dimensionpq3, Involutory Hopf Algebras, The character table for a Hopf algebra, Hopf algebras of dimension $2p$, A duality for modules over monoidal categories of representations of semisimple Hopf algebras, Hopf algebras and regular isotopy invariants for link diagrams, Central invariants and higher indicators for semisimple quasi-Hopf algebras, Modular categories and Hopf algebras, The trace formula for braided hopf algebras, Hopf algebras of dimension 16., Schrödinger representations from the viewpoint of tensor categories., Invariants of piecewise-linear 3-manifolds, Normal Hopf subalgebras of semisimple Hopf algebras, A pair of homotopy-theoretic version of TQFTâs induced by a Brown functor, Kuperberg invariants for balanced sutured 3-manifolds
Cites Work
