Buildings of spherical type and finite BN-pairs
These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >...
שמור ב:
| מחבר ראשי: | |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Berlin ; Heidelberg [etc.] :
Springer
2009.
[Cham] : Springer Nature |
| סדרה: | Lecture notes in mathematics
386 |
| נושאים: | |
| גישה מקוונת: | Accès Université d'Orléans Accès INSA CVL |
| הערה: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Buildings of spherical type and finite BN-pairs, Jacques Tits,..., 2nd corrected printing, Berlin, Springer, 1986, 1 vol. (X-302 p.), Lecture notes in mathematics, 3-540-06757-4 |
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| 009 | PPN155234781 | ||
| 020 | |a 9783540383499 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 510.8 | ||
| 084 | |a 20Dxx. 1991 | ||
| 084 | |a 20G15. 1991 | ||
| 100 | 1 | |a Tits, Jacques, |d 1930-2021, |c mathématicien. | |
| 245 | 1 | 0 | |a Buildings of spherical type and finite BN-pairs |c Jacques Tits,... |
| 260 | |a Berlin ; |a Heidelberg [etc.] : |b Springer. | ||
| 260 | |a [Cham] : |b Springer Nature, |c 2009. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 386 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Complexes -- Coxeter complexes -- Buildings -- Reduction -- The building of a semi-simple algebraic group -- Buildings of type An, Dn, En -- Buildings of type Cn. I. Polar spaces -- Buildings of type Cn. II. Projective embeddings of polar spaces -- Buildings of type Cn. III. Non-embeddable polar spaces -- Buildings of type F4 -- Finite BN-pairs of irreducible type and rank ? 3 -- Appendix 1. Shadows -- Appendix 2. Generators and relations. | |
| 506 | |a Accès complet à la ressource réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 520 | |a These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >; and irreducible, spherical type, other than ~ and H ("of spherical type" means "with finite Weyl 4 group", about the excluded types H, cf. the addenda on p. 274). Roughly speaking, those buildings all turn out to be associated to simple algebraic or classical groups (cf. 6. ;, 6. 1;, 8. 4. ;, 8. 22, 9. 1, 10. 2). An easy application provides the enumeration of all finite groups with BN-pairs of irreducible type and rank >;, up to normal subgroups contained in B (cf. 11. 7). (B) Determination of all isomorphisms between buildings of rank > 2 and spherical type associated to algebraic or classical simple groups and, in parti cular, description of the full automorphism groups of such buildings (cf. 5. 8, 5. 9, 5. 10, 6. 6, 6. 1;, 8. 6, 9. ;, 10. 4). Except for the appendices, the notes are rather strictly oriented - ward these goals. | ||
| 538 | |a Nécessite le logiciel Adobe Digital Editions | ||
| 650 | |a Groupes algébriques linéaires | ||
| 650 | |a Groupes finis | ||
| 650 | |a Isomorphismes (mathématiques) | ||
| 650 | |a Mathématiques | ||
| 650 | |a Algèbre | ||
| 776 | 0 | |0 16122895X |t Buildings of spherical type and finite BN-pairs |f Jacques Tits,... |e 2nd corrected printing |c Berlin |n Springer |d 1986 |p 1 vol. (X-302 p.) |s Lecture notes in mathematics |z 3-540-06757-4 | |
| 856 | 4 | |5 452349901:750629908 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-3-540-38349-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753986620 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-3-540-38349-9 |z Accès INSA CVL | |
| 997 | |0 973070 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||