Notes on Coxeter transformations and the McKay correspondence
One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram. The Coxeter transformation is the main tool in the proof...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2008. |
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
L'impression du document génère 249 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Notes on Coxeter transformations and the McKay correspondence, R. Stekolshchik, Berlin, Springer, 2008, 1 vol. (XX-239 p.), Springer monographs in mathematics, 3-540-77398-3 • Notes on Coxeter Transformations and the McKay Correspondence, Texte imprimé, 9783642096044 • Notes on Coxeter Transformations and the McKay Correspondence, Texte imprimé, 9783540846796 • Notes on Coxeter transformations and the McKay correspondence, R. Stekolshchik, Berlin, Springer, 2008, 1 vol. (XX-239 p.), Springer monographs in mathematics, 3-540-77398-3 |
| LEADER | 03817nam a22004817a 4500 | ||
|---|---|---|---|
| 001 | 940292 | ||
| 008 | 080505q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123743192 | ||
| 020 | |a 3540773991 (e-book) | ||
| 020 | |a 9783540773993 (e-book) | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 084 | |a 20F55. 2010 | ||
| 084 | |a 15A18. 2010 | ||
| 084 | |a 17B20. 2010 | ||
| 084 | |a 16G20. 2010 | ||
| 100 | 1 | |a Stekolshchik, Rafael. | |
| 245 | 1 | 0 | |a Notes on Coxeter transformations and the McKay correspondence |c Rafael Stekolshchik. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a L'impression du document génère 249 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preliminaries The Jordan normal form of the Coxeter transformation Eigenvalues, splitting formulas and diagrams Tp,q,r R. Steinberg s theorem, B. Kostant s construction The affine Coxeter transformation | |
| 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 One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram. The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated with the Cartan matrix and Poincaré series. The Coxeter functors constructed by Bernstein, Gelfand and Ponomarev plays a distinguished role in the representation theory of quivers. On these pages, the ideas and formulas due to J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, H.S.M. Coxeter, V. Dlab and C.M. Ringel, V. Kac, J. McKay, T.A. Springer, B. Kostant, P. Slodowy, R. Steinberg, W. Ebeling and several other authors, as well as the author and his colleagues from Subbotin's seminar, are presented in detail. Several proofs seem to be new | ||
| 650 | |a Diagrammes de Dynkin | ||
| 650 | |a Séries de Poincaré | ||
| 650 | |a Groupes de Coxeter | ||
| 776 | 0 | |0 122580990 |t Notes on Coxeter transformations and the McKay correspondence |f R. Stekolshchik |c Berlin |n Springer |d 2008 |p 1 vol. (XX-239 p.) |s Springer monographs in mathematics |z 3-540-77398-3 | |
| 776 | 0 | |t Notes on Coxeter Transformations and the McKay Correspondence |b Texte imprimé |z 9783642096044 | |
| 776 | 0 | |t Notes on Coxeter Transformations and the McKay Correspondence |b Texte imprimé |z 9783540846796 | |
| 776 | 0 | |0 122580990 |t Notes on Coxeter transformations and the McKay correspondence |f R. Stekolshchik |c Berlin |n Springer |d 2008 |p 1 vol. (XX-239 p.) |s Springer monographs in mathematics |z 3-540-77398-3 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-77399-3 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-NLTDLBC6-V |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747862370 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-77399-3 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750879890 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-77399-3 |z Accès INSA CVL | |
| 997 | |0 940292 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||