On cocommutative Hopf algebras of finite representation type

DOI10.1006/aima.2000.1920zbMath0981.16030OpenAlexW2069281654MaRDI QIDQ1590965

Detlef Voigt, Rolf Farnsteiner

Publication date: 11 December 2001

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/13c2602d438b26614f0e82fbf17ffc961edf43e4

zbMATH Keywords

finite representation typefinite algebraic groupscocommutative Hopf algebrasuniserial groupsinfinitesimal subgroups

Mathematics Subject Classification ID

Related Items (14)

Varieties of tori and Cartan subalgebras of restricted Lie algebras ⋮ Almost split sequences for polynomial \(G_{r}T\)-modules and polynomial parts of Auslander-Reiten components ⋮ Varieties of subalgebras and endotrivial modules ⋮ Basic Hopf algebras of tame type. ⋮ On the Auslander-Reiten quiver of an infinitesimal group ⋮ On the bijectivity of the antipode and serial quantum groups ⋮ Complexity, periodicity and one-parameter subgroups ⋮ Super cocommutative Hopf algebras of finite representation type. ⋮ Jordan types for indecomposable modules of finite group schemes ⋮ Galois actions and blocks of tame infinitesimal group schemes ⋮ The tame infinitesimal groups of odd characteristic ⋮ Polyhedral groups, McKay quivers, and the finite algebraic groups with tame principal blocks. ⋮ On the structure of tame graded basic Hopf algebras. II. ⋮ Finite group schemes of p-rank ≤ 1

Cites Work

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• Support varieties for restricted Lie algebras
• Geometry of p-unipotent Lie algebras
• The varieties and the cohomology ring of a module
• Complexity of Lie algebra representations and nilpotent elements of the stabilizers of linear forms
• Homological characteristics of pro-uniserial rings
• Blocks of tame representation type and related algebras
• Restricted Lie algebras with bounded cohomology and related classes of algebras
• Induzierte Darstellungen in der Theorie der endlichen, algebraischen Gruppen
• Cohomology of finite group schemes over a field
• Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture
• Über Untergruppen endlicher algebraischer Gruppen
• Indecomposable representations at characteristic \(p\)
• Indecomposable Representations and the Loop-Space Operation
• The Representation Type of Algebras and Subalgebras
• A Hopf Algebra Freeness Theorem
• Modular Representation Theory of Lie Algebras
• The Representation Type of Self-Injective Algebras
• Infinitesimal 1-parameter subgroups and cohomology
• Support varieties for infinitesimal group schemes
• Periodicity and representation type of modular Lie algebras.
• Restricted Lie algebras of bounded type
• An Associative Orthogonal Bilinear Form for Hopf Algebras

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