Weyl module (original) (raw)
In algebra, a Weyl module is a representation of a reductive algebraic group, introduced by Carter and Lusztig and named after Hermann Weyl. In characteristic 0 these representations are irreducible, but in positive characteristic they can be reducible, and their decomposition into irreducible components can be hard to determine.
| Property | Value |
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| dbo:abstract | In algebra, a Weyl module is a representation of a reductive algebraic group, introduced by Carter and Lusztig and named after Hermann Weyl. In characteristic 0 these representations are irreducible, but in positive characteristic they can be reducible, and their decomposition into irreducible components can be hard to determine. (en) Inom matematiken är en Weylmodul en av en , introducerad av Carter och Lusztig och uppkallade efter Hermann Weyl. I karakteristik 0 är dessa representationer , men i positiv karakteristik kan de vara reducibla, och deras sammansättningar i irreducibla komponenter kan bara svåra att bestämma. (sv) |
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| dbo:wikiPageWikiLink | dbr:Borel–Weil–Bott_theorem dbr:Algebraic_group dbc:Algebraic_groups dbr:Mathematische_Zeitschrift dbr:Garnir_relations dbr:Irreducible_representation dbr:Hermann_Weyl dbc:Representation_theory dbr:Characteristic_(algebra) dbr:Reductive_group dbr:Group_representation dbr:Springer-Verlag |
| dbp:first | R. (en) |
| dbp:id | Weyl_module (en) |
| dbp:last | Dipper (en) |
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| dct:subject | dbc:Algebraic_groups dbc:Representation_theory |
| gold:hypernym | dbr:Representation |
| rdf:type | yago:Abstraction100002137 yago:Group100031264 yago:WikicatAlgebraicGroups |
| rdfs:comment | In algebra, a Weyl module is a representation of a reductive algebraic group, introduced by Carter and Lusztig and named after Hermann Weyl. In characteristic 0 these representations are irreducible, but in positive characteristic they can be reducible, and their decomposition into irreducible components can be hard to determine. (en) Inom matematiken är en Weylmodul en av en , introducerad av Carter och Lusztig och uppkallade efter Hermann Weyl. I karakteristik 0 är dessa representationer , men i positiv karakteristik kan de vara reducibla, och deras sammansättningar i irreducibla komponenter kan bara svåra att bestämma. (sv) |
| rdfs:label | Weyl module (en) Weylmodul (sv) |
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