Derived Equivalences for Group Rings
A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular char...
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| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Sarja: | Lecture notes in mathematics
1685 |
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| Linkit: | 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) |
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| Edition sous un autre format: | • Derived equivalences for group rings, Steffen König, Alexander Zimmermann, Berlin, Springer-Verlag, 1998, 1 vol. (X-246 p.), Lecture notes in mathematics, 3-540-64311-7 • Derived Equivalences for Group Rings, Texte imprimé, 9783662193112 |
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| 020 | |a 9783540697480 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a König, Steffen, |d 1961- | |
| 245 | 1 | 0 | |a Derived Equivalences for Group Rings |c Steffen König, Alexander Zimmermann ; With contributions by Bernhard Keller, Markus Linckelmann, Jeremy Rickard and Raphaël Rouquier. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1685 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Basic definitions and some examples -- Rickard's fundamental theorem -- Some modular and local representation theory -- Onesided tilting complexes for group rings -- Tilting with additional structure: twosided tilting complexes -- Historical remarks -- On the construction of triangle equivalences -- Triangulated categories in the modular representation theory of finite groups -- The derived category of blocks with cyclic defect groups -- On stable equivalences of Morita type. | |
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| 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 A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications. | ||
| 650 | |a Mathématiques | ||
| 650 | |a K-théorie | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Algèbre homologique | ||
| 650 | |a Anneaux de groupes | ||
| 700 | 1 | |a Zimmermann, Alexander, |d 1964- |4 aut | |
| 700 | 1 | |a Keller, Bernhard, |d 1964-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Linckelmann, Markus, |d 19..-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Rickard, Jeremy, |d 19..- |4 aut | |
| 700 | 1 | |a Rouquier, Raphaël, |d 1969-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 045931534 |t Derived equivalences for group rings |f Steffen König, Alexander Zimmermann |c Berlin |n Springer-Verlag |d 1998 |p 1 vol. (X-246 p.) |s Lecture notes in mathematics |z 3-540-64311-7 | |
| 776 | 0 | |t Derived Equivalences for Group Rings |b Texte imprimé |z 9783662193112 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0096366 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-46W24VS1-1 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750668962 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0096366 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754018016 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0096366 |z Accès INSA CVL | |
| 997 | |0 969903 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||