Representation theory of the Virasoro algebra
The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of...
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| Главные авторы: | , |
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| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2011. |
| Серии: | Springer Monographs in Mathematics
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| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Description d'après consultation du 25 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Representation theory of the Virasoro algebra, Kenji Iohara, Yoshiyuki Koga, 2011, London, Springer, 1 vol. (XVIII-474 p.), Springer monographs in mathematics, 978-0-85729-159-2 • Representation theory of the Virasoro algebra, Kenji Iohara, Yoshiyuki Koga, 2011, London, Springer, 1 vol. (XVIII-474 p.), Springer monographs in mathematics, 978-0-85729-159-2 • Representation Theory of the Virasoro Algebra, Texte imprimé, 9781447126096 • Representation Theory of the Virasoro Algebra, Texte imprimé, 9780857291615 |
| Итог: | The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations. Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. Fundamental results are organized in a unified way and existing proofs refined. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock modules in chapter eight. This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to researchers |
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| Примечание: | Description d'après consultation du 25 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Библиография: | Bibliogr. p. 455-463 Index p. 467-470 |
| ISBN: | 9780857291608 |
| ISSN: | 2196-9922 |
| Доступ: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |