Green Functors and G-sets
This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be ext...
Kaydedildi:
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| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1671 |
| Konular: | |
| Online Erişim: | 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: | • Green functors and G-sets, Serge Bouc, 1997, Berlin, Springer, 1 volume (VII-342 pages), Lecture notes in mathematics, 3-540-63550-5 • Green Functors and G-sets, Texte imprimé, 9783662201817 |
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| 009 | PPN155184555 | ||
| 020 | |a 9783540695967 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Bouc, Serge, |c mathématicien. | |
| 245 | 1 | 0 | |a Green Functors and G-sets |c Serge Bouc. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1671 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Mackey functors -- Green functors -- The category associated to a green functor -- The algebra associated to a green functor -- Morita equivalence and relative projectivity -- Construction of green functors -- A morita theory -- Composition -- Adjoint constructions -- Adjunction and green functors -- The simple modules -- Centres. | |
| 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 This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). There are moreover connections between Green functors for different groups, given by functors associated to bisets. Intended for researchers and students in representation theory of finite groups it requires only basic algebra and category theory, though knowledge of the classical examples of Mackey functors is probably preferable. | ||
| 650 | |a K-théorie | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes finis | ||
| 650 | |a Anneaux de groupes | ||
| 776 | 0 | |0 032516266 |t Green functors and G-sets |f Serge Bouc |d 1997 |c Berlin |n Springer |p 1 volume (VII-342 pages) |s Lecture notes in mathematics |z 3-540-63550-5 | |
| 776 | 0 | |t Green Functors and G-sets |b Texte imprimé |z 9783662201817 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0095821 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-GKP97LQ7-2 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750666838 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0095821 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754015998 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0095821 |z Accès INSA CVL | |
| 997 | |0 970098 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||