Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of se...
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| Autors principals: | , , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1787 |
| Matèries: | |
| Accés en línia: | 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: | • Frobenius and separable functors for generalized module categories and nonlinear equations, Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu, 2002, Berlin, Springer, 1 vol. (XIV-354 p.), Lecture notes in mathematics, 3-540-43782-7 • Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations, Texte imprimé, 9783662170236 |
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| 100 | 1 | |a Caenepeel, Stefaan. | |
| 245 | 1 | 0 | |a Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations |c Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1787 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Part I: Entwined modules and Doi-Koppinen Hopf modules -- 1. Generalities -- 2. Doi-Koppinen Hopf modules and entwined modules -- 3. Frobenius and separable functors for entwined modules -- 4. Applications -- Part II: Nonlinear equations -- 5. Yetter-Drinfeld modules and the quantum Yang-Baxter equation -- 6. Hopf modules and the pentagon equation -- 7. Long dimodules and the Long equation -- 8. The Frobenius-Separability equation -- References -- Index. | |
| 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 Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. The book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations with smash products, Galois theory and descent theory. Each chapter of Part II is devoted to a particular nonlinear equation. The exposé is organized in such a way that the analogies between the four are clear: the quantum Yang-Baxter equation is related to Yetter-Drinfeld modules, the pentagon equation to Hopf modules, and the Long equation to Long dimodules. The Frobenius-separability equation provides a new viewpoint to Frobenius and separable algebras. | ||
| 650 | |a Algèbres de Frobenius | ||
| 650 | |a Équations différentielles non linéaires | ||
| 650 | |a Modules (algèbre) | ||
| 650 | |a Mathématiques | ||
| 650 | |a Anneaux associatifs | ||
| 700 | 1 | |a Zhu, Shenglin, |d 1964- |4 aut | |
| 700 | 1 | |a Militaru, Gigel, |d 1966- |4 aut | |
| 776 | 0 | |0 078716454 |t Frobenius and separable functors for generalized module categories and nonlinear equations |f Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu |d 2002 |c Berlin |n Springer |p 1 vol. (XIV-354 p.) |s Lecture notes in mathematics |z 3-540-43782-7 | |
| 776 | 0 | |t Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations |b Texte imprimé |z 9783662170236 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b83849 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-DH0Q9WNX-K |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750675713 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b83849 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754024121 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b83849 |z Accès INSA CVL | |
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