On the classification of Galois objects over the quantum group of a nondegenerate bilinear form.

DOI10.1007/s00229-006-0054-2zbMath1122.16031arXivmath/0606147OpenAlexW2005671577MaRDI QIDQ863452

Thomas Aubriot

Publication date: 26 January 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606147

zbMATH Keywords

monoidal categoriesHopf algebrashomotopy equivalencesquantized function algebrasHopf-Galois extensionsGalois objectscategories of representationsbi-Galois objectsquantum groups of bilinear forms

Mathematics Subject Classification ID

Related Items (3)

Quantum groups of \(\mathrm{GL}(2)\) representation type. ⋮ Hopf-Galois extensions and an exact sequence for \(H\)-Picard groups. ⋮ THE GROUP OF BI-GALOIS OBJECTS OVER THE COORDINATE ALGEBRA OF THE FROBENIUS–LUSZTIG KERNEL OF SL(2)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Principal homogeneous spaces for arbitrary Hopf algebras
• Homotopy theory of Hopf Galois extensions.
• Galois extensions as functors of comodules
• Fibre functors of finite dimensional comodules
• The equivalence of bilinear forms
• Bi-Galois objects over the Taft algebras
• The quantum group of a nondegenerate bilinear form.
• Lazy cohomology: an analogue of the Schur multiplier for arbitrary Hopf algebras.
• GALOIS AND BIGALOIS OBJECTS OVER MONOMIAL NON-SEMISIMPLE HOPF ALGEBRAS
• Cleft extensions for a hopf algebra generated by a nearly primitive element
• The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
• Hopf bigalois extensions
• Clifford-type algebras as cleft extensions for some pointed hopf algebras

This page was built for publication: On the classification of Galois objects over the quantum group of a nondegenerate bilinear form.