Quantum Groups, Quantum Categories and Quantum Field Theory
This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the...
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seri Bilgileri: | Lecture notes in mathematics
1542 |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quantum groups, quantum categories and quantum field theory, Jürg Fröhlich, Thomas Kerler, Berlin, Springer, 1994, 1 volume (vii-431 pages), Lecture notes in mathematics, 3-540-56623-6 • Quantum Groups, Quantum Categories and Quantum Field Theory, Texte imprimé, 9783662185827 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Fröhlich, Jürg, |d 1946-...., |c physicien. | |
| 245 | 1 | 0 | |a Quantum Groups, Quantum Categories and Quantum Field Theory |c Jürg Fröhlich, Thomas Kerler. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1542 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a and survey of results -- Local quantum theory with braid group statistics -- Superselection sectors and the structure of fusion rule algebras -- Hopf algebras and quantum groups at roots of unity -- Representation theory of U q red (s? 2) -- Path representations of the braid groups for quantum groups at roots of unity -- Duality theory for local quantum theories, dimensions and balancing in quantum categories -- The quantum categories with a generator of dimension less than two. | |
| 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 reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students. | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Groupes quantiques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Champs, Théorie quantique des | ||
| 650 | |a K-théorie | ||
| 650 | |a Groupes, Théorie des | ||
| 700 | 1 | |a Kerler, Thomas, |d 1965- |4 aut | |
| 776 | 0 | |0 003518655 |t Quantum groups, quantum categories and quantum field theory |f Jürg Fröhlich, Thomas Kerler |c Berlin |n Springer |d 1994 |p 1 volume (vii-431 pages) |s Lecture notes in mathematics |z 3-540-56623-6 | |
| 776 | 0 | |t Quantum Groups, Quantum Categories and Quantum Field Theory |b Texte imprimé |z 9783662185827 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0084244 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-860F6DL8-S |z Accès sur la plateforme Istex | |
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| 856 | 4 | |5 180339901:754015068 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0084244 |z Accès INSA CVL | |
| 997 | |0 970192 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||