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- Iwahori_subgroup abstract "In algebra, an Iwahori subgroup is a subgroup of a reductive algebraic group over a local field that is analogous to a Borel subgroup of an algebraic group. A parahoric subgroup is a subgroup that is a finite union of double cosets of an Iwahori subgroup, so is analogous to a parabolic subgroup of an algebraic group. Iwahori subgroups are named after Nagayoshi Iwahori, and "parahoric" is a portmanteau of "parabolic" and "Iwahori". Iwahori & Matsumoto (1965) studied Iwahori subgroups for Chevalley groups over p-adic fields, and Bruhat & Tits (1972) extended their work to more general groups. Roughly speaking, an Iwahori subgroup of an algebraic group G(K), for a local field K with integers O and residue field k, is the inverse image in G(O) of a Borel subgroup of G(k).A reductive group over a local field has a Tits system (B,N), where B is a parahoric group, and the Weyl group of the Tits system is an affine Coxeter group.".
- Iwahori_subgroup wikiPageExternalLink pspum331-ptI-2.pdf.
- Iwahori_subgroup wikiPageExternalLink pspum331-index.
- Iwahori_subgroup wikiPageExternalLink item?id=PMIHES_1965__25__5_0.
- Iwahori_subgroup wikiPageExternalLink item?id=PMIHES_1972__41__5_0.
- Iwahori_subgroup wikiPageID "32092579".
- Iwahori_subgroup wikiPageRevisionID "447610349".
- Iwahori_subgroup hasPhotoCollection Iwahori_subgroup.
- Iwahori_subgroup subject Category:Algebraic_groups.
- Iwahori_subgroup subject Category:Representation_theory.
- Iwahori_subgroup type Abstraction100002137.
- Iwahori_subgroup type AlgebraicGroups.
- Iwahori_subgroup type Group100031264.
- Iwahori_subgroup comment "In algebra, an Iwahori subgroup is a subgroup of a reductive algebraic group over a local field that is analogous to a Borel subgroup of an algebraic group. A parahoric subgroup is a subgroup that is a finite union of double cosets of an Iwahori subgroup, so is analogous to a parabolic subgroup of an algebraic group. Iwahori subgroups are named after Nagayoshi Iwahori, and "parahoric" is a portmanteau of "parabolic" and "Iwahori".".
- Iwahori_subgroup label "Iwahori subgroup".
- Iwahori_subgroup sameAs m.0gwzwxm.
- Iwahori_subgroup sameAs Q6100308.
- Iwahori_subgroup sameAs Q6100308.
- Iwahori_subgroup sameAs Iwahori_subgroup.
- Iwahori_subgroup wasDerivedFrom Iwahori_subgroup?oldid=447610349.
- Iwahori_subgroup isPrimaryTopicOf Iwahori_subgroup.