Almost-Bieberbach Groups : Affine and Polynomial Structures
Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to g...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Cyfres: | Lecture notes in mathematics
1639 |
| Pynciau: | |
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Almost-Bieberbach groups, affine and polynomial structures, Karel Dekimpe, 1996, Berlin, Springer, 1 volume (X-259 pages), Lecture notes in mathematics, 3-540-61899-6 • Almost-Bieberbach Groups: Affine and Polynomial Structures, Texte imprimé, 9783662161500 |
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| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Dekimpe, Karel, |d 1967- | |
| 245 | 1 | 0 | |a Almost-Bieberbach Groups : |b Affine and Polynomial Structures |c Karel Dekimpe. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1639 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries and notational conventions -- Infra-nilmanifolds and Almost-Bieberbach groups -- Algebraic characterizations of almost-crystallographic groups -- Canonical type representations -- The Cohomology of virtually nilpotent groups -- Infra-nilmanifolds and their topological invariants -- Classification survey. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced. | ||
| 650 | |a Groupes nilpotents | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes algébriques linéaires | ||
| 650 | |a Groupes topologiques de transformations | ||
| 776 | 0 | |0 026144948 |t Almost-Bieberbach groups |o affine and polynomial structures |f Karel Dekimpe |d 1996 |c Berlin |n Springer |p 1 volume (X-259 pages) |s Lecture notes in mathematics |z 3-540-61899-6 | |
| 776 | 0 | |t Almost-Bieberbach Groups: Affine and Polynomial Structures |b Texte imprimé |z 9783662161500 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0094472 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VBRSFLT1-Z |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750646047 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0094472 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753996995 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0094472 |z Accès INSA CVL | |
| 997 | |0 972024 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||