Notes on Coxeter Transformations and the Mckay Correspondence - Couverture rigide

Stekolshchik, Rafael

 
9783540773986: Notes on Coxeter Transformations and the Mckay Correspondence
Couverture rigide
ISBN 10 : 3540773983 ISBN 13 : 9783540773986
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2008

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

1980 - 1991, CAM (Center of Automation and Metrology), Academy of Sciences of Moldova, Project leader of experimental data processing.
Research and development of programs and mathematical tools for Academy of Sciences of Moldova,

999 - 2007, ECI Telecom (Electronics Corporation of Israel), Israel, Project leader in the Network Management department.
Research and development of algorithmes in the field of Communications and Big Systems.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2008
Langue
anglais
ISBN 10 
3540773983
ISBN 13 
9783540773986
Reliure
Relié
Nombre de pages
260
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9783642096044: Notes on Coxeter Transformations and the McKay Correspondence

Edition présentée

ISBN 10 :  3642096042 ISBN 13 :  9783642096044
Editeur : Springer, 2010
Couverture souple