Defending the negated Kaplansky conjecture

DOI10.1090/S0002-9939-01-06005-1zbMath0985.16026WikidataQ122975622 ScholiaQ122975622MaRDI QIDQ2731906

Akira Masuoka

Publication date: 30 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite dimensional Hopf algebrascocycle deformationsKaplansky conjecturesmonoidal Morita-Takeuchi equivalences

Mathematics Subject Classification ID

Related Items (17)

Homotopy theory of Hopf Galois extensions. ⋮ Finite quantum groups over abelian groups of prime exponent ⋮ Lifting via cocycle deformation. ⋮ Cocycle Deformations for Liftings of Quantum Linear Spaces ⋮ Finite-dimensional pointed or copointed Hopf algebras over affine racks. ⋮ Twisting Hopf algebras from cocycle deformations ⋮ Abelian and non-Abelian second cohomologies of quantized enveloping algebras ⋮ Pointed Hopf algebras and quasi-isomorphisms. ⋮ Classification of Semisimple Hopf Algebras ⋮ Hopf Algebras ⋮ Cocycle deformations for Hopf algebras with a coalgebra projection. ⋮ Duals of pointed Hopf algebras ⋮ THE GROUP OF BI-GALOIS OBJECTS OVER THE COORDINATE ALGEBRA OF THE FROBENIUS–LUSZTIG KERNEL OF SL(2) ⋮ Extensions of finite quantum groups by finite groups. ⋮ Pointed braided tensor categories ⋮ A survey of Hopf algebras of low dimension. ⋮ Lifting of Nichols algebras of type \(B_2\). (With an appendix ``A generalization of the \(q\)-binomial theorem with I. Rutherford).

Cites Work

• Unnamed Item
• Some topics on \(GL_ q(n)\)
• Pointed Hopf algebras and Kaplansky's 10th conjecture
• Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
• On the number of types of finite dimensional Hopf algebras
• Cocycle deformations of coordinate rings of quantum matrices
• Some remarks on exact sequences of quantum groups
• Braided bialgebras and quadratic blalgebras
• Hopf bigalois extensions

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