Reflection systems and partial root systems

Reflection systems and partial root systems

Source :

• Forum Mathematicum [ 0933-7741 ] ; 2011-03.

English descriptors

• KwdEn :
  • Abelian, Abelian group, Algebra, Axiom, Bilinear, Bilinear form, Canonical, Canonical projection, Cardinality, Central chain, Classical root systems, Closure, Coxeter, Coxeter group, Datum, Diff, Exact sequence, Extension data, Extension datum, Height function, Hyperplane, Imaginary roots, Integral basis, Integral system, Invariant form, Invariant forms, Isomorphic, Isomorphism, Lemma, Linear form, Loos, Lucas polynomials, Minimal type, Morphism, Neher, Nite, Nite rank, Nite root system, Nite root systems, Nondegenerate, Normal subsets, Other examples, Other hand, Partial, Partial root system, Partial root systems, Partial section, Positive roots, Positive subset, Positive subsets, Positive system, Positive systems, Prenilpotent, Prenilpotent pair, Prenilpotent pairs, Prs1, Prs2, Prs3, Quotient, Quotient root system, Real roots, Reine angew, Representation theory, Res1, Res2, Res3, Res4, Root, Root basis, Root data, Root string, Root string closure, Root strings, Root system, Root systems, Scalar type, Subgroup, Subset, Subsystem, Tind, Tit, Unbroken root strings, Unc1, Vector space, Vector space basis, Vector space isomorphism, Weyl, Weyl group, Weyl groups.
• Teeft :
  • Abelian, Abelian group, Algebra, Axiom, Bilinear, Bilinear form, Canonical, Canonical projection, Cardinality, Central chain, Classical root systems, Closure, Coxeter, Coxeter group, Datum, Diff, Exact sequence, Extension data, Extension datum, Height function, Hyperplane, Imaginary roots, Integral basis, Integral system, Invariant form, Invariant forms, Isomorphic, Isomorphism, Lemma, Linear form, Loos, Lucas polynomials, Minimal type, Morphism, Neher, Nite, Nite rank, Nite root system, Nite root systems, Nondegenerate, Normal subsets, Other examples, Other hand, Partial, Partial root system, Partial root systems, Partial section, Positive roots, Positive subset, Positive subsets, Positive system, Positive systems, Prenilpotent, Prenilpotent pair, Prenilpotent pairs, Prs1, Prs2, Prs3, Quotient, Quotient root system, Real roots, Reine angew, Representation theory, Res1, Res2, Res3, Res4, Root, Root basis, Root data, Root string, Root string closure, Root strings, Root system, Root systems, Scalar type, Subgroup, Subset, Subsystem, Tind, Tit, Unbroken root strings, Unc1, Vector space, Vector space basis, Vector space isomorphism, Weyl, Weyl group, Weyl groups.

Abstract

• https://api.istex.fr/document/89311032CD672C22C824E50DA7AC6E16E169F1A8/fulltext/pdf

Affiliations:

• Allemagne, Canada

Links toward previous steps (curation, corpus...)

• to stream Istex, to step Corpus: 001C10
• to stream Istex, to step Curation: 001C10
• to stream Istex, to step Checkpoint: 000229
• to stream Main, to step Merge: 000268
• to stream Main, to step Curation: 000268

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000268 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000268 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     ISTEX:89311032CD672C22C824E50DA7AC6E16E169F1A8
   |texte=   Reflection systems and partial root systems
}}

This area was generated with Dilib version V0.6.33. Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022