Hopf Complements and Injective Comodules for Algebraic Groups

DOI10.1112/plms/s3-40.2.298zbMath0442.20033OpenAlexW1991324572WikidataQ123258363 ScholiaQ123258363MaRDI QIDQ3884302

Stephen Donkin

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1112/plms/s3-40.2.298

zbMATH Keywords

Mumford conjecturesimple rational modulessimply connected algebraic grouprationally injective envelopes

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30)

Related Items (16)

On Ext¹ for semisimple groups and infinitesimal subgroups ⋮ On Schur algebras and related algebras. I ⋮ A note on the adjoint action of a semisimple group on the coordinate algebra of an infinitesimal subgroup ⋮ Some properties of general linear supergroups and of Schur superalgebras ⋮ On Schur algebras and related algebras III: integral representations ⋮ A filtration for rational modules ⋮ The blocks of a semisimple algebraic group ⋮ On the Noetherian property in endomorphism rings of certain comodules ⋮ An action of the Hecke monoid on rational modules for the Borel subgroup of a quantised general linear group ⋮ Algebraic groups ⋮ Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules. ⋮ Translation cokernels of rational modules ⋮ Injective modules for restricted enveloping algebras ⋮ Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen ⋮ Blocks and indecomposable modules for semisimple algebraic groups ⋮ Modular representations of the supergroup \(Q(n)\). I

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