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- Good_filtration abstract "In mathematical representation theory, a good filtration is a filtration of a representation of a reductive algebraic group G such that the subquotients are isomorphic to the spaces of sections F(λ) of line bundles λ over G/B for a Borel subgroup B. In characteristic 0 this is automatically true as the irreducible modules are all of the form F(λ), but this is not usually true in positive characteristic. Mathieu (1990) showed that the tensor product of two modules F(λ)⊗F(μ) has a good filtration, completing the results of Donkin (1985) who proved it in most cases and Wang (1982) who proved it in large characteristic. Littelmann (1992) showed that the existence of good filtrations for these tensor products also follows from standard monomial theory.".
- Good_filtration wikiPageExternalLink 0021-8693(82)90284-8.
- Good_filtration wikiPageExternalLink crll.1992.433.161.
- Good_filtration wikiPageExternalLink item?id=ASENS_1990_4_23_4_625_0.
- Good_filtration wikiPageID "37479627".
- Good_filtration wikiPageLength "2344".
- Good_filtration wikiPageOutDegree "16".
- Good_filtration wikiPageRevisionID "626886550".
- Good_filtration wikiPageWikiLink Borel_subgroup.
- Good_filtration wikiPageWikiLink Category:Algebraic_groups.
- Good_filtration wikiPageWikiLink Category:Representation_theory.
- Good_filtration wikiPageWikiLink Characteristic_(algebra).
- Good_filtration wikiPageWikiLink Crelles_Journal.
- Good_filtration wikiPageWikiLink Filtration_(mathematics).
- Good_filtration wikiPageWikiLink Journal_of_Algebra.
- Good_filtration wikiPageWikiLink Line_bundle.
- Good_filtration wikiPageWikiLink Reductive_group.
- Good_filtration wikiPageWikiLink Representation_theory.
- Good_filtration wikiPageWikiLink Section_(fiber_bundle).
- Good_filtration wikiPageWikiLink Simple_module.
- Good_filtration wikiPageWikiLink Springer_Science+Business_Media.
- Good_filtration wikiPageWikiLink Standard_monomial_theory.
- Good_filtration wikiPageWikiLink Subquotient.
- Good_filtration wikiPageWikiLink Tensor_product.
- Good_filtration wikiPageWikiLinkText "Good filtration".
- Good_filtration wikiPageWikiLinkText "good filtration".
- Good_filtration wikiPageUsesTemplate Template:Citation.
- Good_filtration wikiPageUsesTemplate Template:Harvtxt.
- Good_filtration subject Category:Algebraic_groups.
- Good_filtration subject Category:Representation_theory.
- Good_filtration hypernym Filtration.
- Good_filtration type Building.
- Good_filtration type Group.
- Good_filtration type Field.
- Good_filtration type Group.
- Good_filtration type Variety.
- Good_filtration comment "In mathematical representation theory, a good filtration is a filtration of a representation of a reductive algebraic group G such that the subquotients are isomorphic to the spaces of sections F(λ) of line bundles λ over G/B for a Borel subgroup B. In characteristic 0 this is automatically true as the irreducible modules are all of the form F(λ), but this is not usually true in positive characteristic.".
- Good_filtration label "Good filtration".
- Good_filtration sameAs Q5583099.
- Good_filtration sameAs m.0nb2sdl.
- Good_filtration sameAs Q5583099.
- Good_filtration wasDerivedFrom Good_filtration?oldid=626886550.
- Good_filtration isPrimaryTopicOf Good_filtration.