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...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Stekolshchik, Rafael (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Édition:1st ed. 2008.
Collection:Springer Monographs in Mathematics,
Sujets:
Algebra.
Functional analysis.
Commutative algebra.
Commutative rings.
Topological groups.
Lie groups.
Group theory.
Functional Analysis.
Commutative Rings and Algebras.
Topological Groups and Lie Groups.
Group Theory and Generalizations.
Accès en ligne:Texto Completo
Table des matières:
  • 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.

Documents similaires