On the depth 2 condition for group algebra and Hopf algebra extensions.
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Publication:961030
DOI10.1016/j.jalgebra.2009.11.043zbMath1200.16035OpenAlexW2065519630MaRDI QIDQ961030
Burkhard Külshammer, Robert Boltje
Publication date: 29 March 2010
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.11.043
group algebrasHopf algebrasring extensionsHopf-Galois extensionsrelative projectivitydepth two extensions
Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Hopf algebras and their applications (16T05)
Related Items (16)
Subgroups of arbitrary even ordinary depth ⋮ Depth one extensions of semisimple algebras and Hopf subalgebras. ⋮ Subgroups of odd depth—a necessary condition ⋮ A quantum subgroup depth ⋮ A NOTE ON THE DEPTH OF A SOURCE ALGEBRA OVER ITS DEFECT GROUP ⋮ Hopf subalgebras and tensor powers of generalized permutation modules. ⋮ Uniquely separable extensions ⋮ Odd \(H\)-depth and \(H\)-separable extensions. ⋮ Constructing group inclusions with arbitrary depth via wreath products ⋮ On the depth of subgroups and group algebra extensions. ⋮ Algebraic quotient modules and subgroup depth ⋮ Subgroup Depth and Twisted Coefficients ⋮ Subring depth, Frobenius extensions, and towers. ⋮ An in-depth look at quotient modules ⋮ KERNELS OF REPRESENTATIONS AND COIDEAL SUBALGEBRAS OF HOPF ALGEBRAS ⋮ Subalgebra Depths Within the Path Algebra of an Acyclic Quiver
Cites Work
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- Biinvertible actions of Hopf algebras
- Normal basis and transitivity of crossed products for Hopf algebras
- Bialgebroid actions on depth two extensions and duality.
- Depth Two, Normality, and a Trace Ideal Condition for Frobenius Extensions
- Hopf algebra actions on strongly separable extensions of depth two
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