A canonical filtration for certain rational modules

DOI10.1007/BF01159188zbMath0535.20022MaRDI QIDQ790938

Eric M. Friedlander

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173551

zbMATH Keywords

inductionrational modulesgood filtrationBorel subgrouprational cohomologyFrobenius twistsimple, simply connected algebraic group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items (6)

Filtrations of $G$-modules ⋮ Locally finitely presented additive categories ⋮ On the collapsing of homogeneous bundles in arbitrary characteristic ⋮ Good filtrations and strong \(F\)-regularity of the ring of \(U_P\)-invariants ⋮ Finite good filtration dimension for modules over an algebra with good filtration. ⋮ Good filtrations of representations of Lie algebras of Cartan type

Cites Work

• On the cohomology of algebraic and related finite groups
• Cohomology of algebraic linear groups
• Cohomology, hyperalgebras, and representations
• A filtration for rational modules
• Sheaf cohomology on G/B and tensor products of Weyl modules

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