Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Steinberg_representation> ?p ?o }
Showing triples 1 to 72 of
72
with 100 triples 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 wikiPageLength "7052".
- Steinberg_representation wikiPageOutDegree "28".
- Steinberg_representation wikiPageRevisionID "581189687".
- Steinberg_representation wikiPageWikiLink (B,_N)_pair.
- Steinberg_representation wikiPageWikiLink Alvis–Curtis_dual.
- Steinberg_representation wikiPageWikiLink Alvis–Curtis_duality.
- Steinberg_representation wikiPageWikiLink American_Mathematical_Society.
- Steinberg_representation wikiPageWikiLink Annals_of_Mathematics.
- Steinberg_representation wikiPageWikiLink BN-pair.
- Steinberg_representation wikiPageWikiLink Borel_subgroup.
- Steinberg_representation wikiPageWikiLink Bruhat–Tits_building.
- Steinberg_representation wikiPageWikiLink Building_(mathematics).
- Steinberg_representation wikiPageWikiLink Canadian_Journal_of_Mathematics.
- Steinberg_representation wikiPageWikiLink Category:Finite_fields.
- Steinberg_representation wikiPageWikiLink Category:Representation_theory_of_algebraic_groups.
- Steinberg_representation wikiPageWikiLink Chevalley_group.
- Steinberg_representation wikiPageWikiLink Coxeter_group.
- Steinberg_representation wikiPageWikiLink Finite_field.
- Steinberg_representation wikiPageWikiLink Group_of_Lie_type.
- Steinberg_representation wikiPageWikiLink Haboushs_theorem.
- Steinberg_representation wikiPageWikiLink Inventiones_Mathematicae.
- Steinberg_representation wikiPageWikiLink Linear_representation.
- Steinberg_representation wikiPageWikiLink Local_field.
- Steinberg_representation wikiPageWikiLink Mathematics.
- Steinberg_representation wikiPageWikiLink Parabolic_subgroup.
- Steinberg_representation wikiPageWikiLink Reductive_algebraic_group.
- Steinberg_representation wikiPageWikiLink Reductive_group.
- Steinberg_representation wikiPageWikiLink Representation_theory.
- Steinberg_representation wikiPageWikiLink Sign_representation.
- Steinberg_representation wikiPageWikiLink Sylow_subgroup.
- Steinberg_representation wikiPageWikiLink Sylow_theorems.
- Steinberg_representation wikiPageWikiLink Topology_(journal).
- Steinberg_representation wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Steinberg_representation wikiPageWikiLink Unipotent_representation.
- Steinberg_representation wikiPageWikiLink Weyl_group.
- Steinberg_representation wikiPageWikiLinkText "Steinberg representation".
- 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 wikiPageUsesTemplate Template:Citation.
- Steinberg_representation wikiPageUsesTemplate Template:Harvs.
- Steinberg_representation wikiPageUsesTemplate Template:Harvtxt.
- Steinberg_representation wikiPageUsesTemplate Template:Springer.
- Steinberg_representation wikiPageUsesTemplate Template:Su.
- 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 hypernym Representation.
- Steinberg_representation type Group.
- Steinberg_representation type Field.
- Steinberg_representation type Group.
- 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 "Steinberg representation".
- Steinberg_representation sameAs Representação_de_Steinberg.
- Steinberg_representation sameAs m.0f9m99.
- Steinberg_representation sameAs Q7606832.
- Steinberg_representation sameAs Q7606832.
- Steinberg_representation wasDerivedFrom Steinberg_representation?oldid=581189687.
- Steinberg_representation isPrimaryTopicOf Steinberg_representation.