Galois objects over generalized Drinfeld doubles, with an application to \(u_q({\mathfrak sl}_2)\)
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Publication:1305015
DOI10.1006/jabr.1998.7814zbMath0956.16018OpenAlexW2010782160MaRDI QIDQ1305015
Publication date: 13 December 2000
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1998.7814
Drinfeld doublesTaft algebrastwisted tensor productscleft extensionsGalois objectsfinite Hopf algebrasquotient Hopf algebras
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Cites Work
- Principal homogeneous spaces for arbitrary Hopf algebras
- Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
- Normal basis and transitivity of crossed products for Hopf algebras
- Galois theories and normal bases
- Bialgebras over noncommutative rings and a structure theorem for Hopf bimodules
- Galois correspondences for Hopf bigalois extensions
- Bi-Galois objects over the Taft algebras
- Galoiserweiterungen von night-kommutativen ringen
- Cleft extensions for a hopf algebra generated by a nearly primitive element
- Multiplication alteration by two-cocycles - the quantum version
- Braided bialgebras and quadratic blalgebras
- Hopf bigalois extensions
- Quaternion algebras and hopf crossed products
- Hopf-galois theory and tensor products of hopf algebras
