Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Steinberg_representation> ?p ?o. }
Showing items 1 to 41 of
41
with 100 items per page.
- Steinberg_representation abstract "In mathematics, the Steinberg representation, or Steinberg module or Steinberg character, denoted by St, is a particular linear representation of a reductive algebraic group over a finite field or local field, or a group with a BN-pair. It is analogous to the 1-dimensional sign representation ε of a Coxeter or Weyl group that takes all reflections to –1. For groups over finite fields, these representations were introduced by Robert Steinberg (1951, 1956, 1957), first for the general linear groups, then for classical groups, and then for all Chevalley groups, with a construction that immediately generalized to the other groups of Lie type that were discovered soon after by Steinberg, Suzuki and Ree.Over a finite field of characteristic p, the Steinberg representation has degree equal to the largest power of p dividing the order of the group. The Steinberg representation is the Alvis–Curtis dual of the trivial 1-dimensional representation. Matsumoto (1969), Shalika (1970), and Harish-Chandra (1973) defined analogous Steinberg representations (sometimes called special representations) for algebraic groups over local fields.".
- Steinberg_representation wikiPageExternalLink books?id=5xIZAQAAIAAJ.
- Steinberg_representation wikiPageExternalLink books?id=cNvqfp80jpEC.
- Steinberg_representation wikiPageExternalLink home.html.
- Steinberg_representation wikiPageID "5862365".
- Steinberg_representation wikiPageRevisionID "581189687".
- Steinberg_representation authorlink "Robert Steinberg".
- Steinberg_representation b "c".
- Steinberg_representation first "Robert".
- Steinberg_representation hasPhotoCollection Steinberg_representation.
- Steinberg_representation id "S/s130530".
- Steinberg_representation last "Steinberg".
- Steinberg_representation p "l".
- Steinberg_representation title "Steinberg module".
- Steinberg_representation txt "yes".
- Steinberg_representation year "1951".
- Steinberg_representation year "1956".
- Steinberg_representation year "1957".
- Steinberg_representation subject Category:Finite_fields.
- Steinberg_representation subject Category:Representation_theory_of_algebraic_groups.
- Steinberg_representation type Field108569998.
- Steinberg_representation type FiniteFields.
- Steinberg_representation type GeographicalArea108574314.
- Steinberg_representation type Location100027167.
- Steinberg_representation type Object100002684.
- Steinberg_representation type PhysicalEntity100001930.
- Steinberg_representation type Region108630985.
- Steinberg_representation type Tract108673395.
- Steinberg_representation type YagoGeoEntity.
- Steinberg_representation type YagoLegalActorGeo.
- Steinberg_representation type YagoPermanentlyLocatedEntity.
- Steinberg_representation comment "In mathematics, the Steinberg representation, or Steinberg module or Steinberg character, denoted by St, is a particular linear representation of a reductive algebraic group over a finite field or local field, or a group with a BN-pair. It is analogous to the 1-dimensional sign representation ε of a Coxeter or Weyl group that takes all reflections to –1.".
- Steinberg_representation label "Representação de Steinberg".
- Steinberg_representation label "Steinberg representation".
- Steinberg_representation sameAs Representação_de_Steinberg.
- Steinberg_representation sameAs m.0f9m99.
- Steinberg_representation sameAs Q7606832.
- Steinberg_representation sameAs Q7606832.
- Steinberg_representation sameAs Steinberg_representation.
- Steinberg_representation wasDerivedFrom Steinberg_representation?oldid=581189687.
- Steinberg_representation isPrimaryTopicOf Steinberg_representation.