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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Stekolshchik, Rafael (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Springer Monographs in Mathematics,
Subjects:
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.
Online Access:Texto Completo
Table of Contents:
  • 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.

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