McKay's correspondence and characters of finite subgroups of SU(2)

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

According to McKay (1980) the irreducible characters of finite subgroups of SU(2) are in a natural 1-1 correspondence with the extended Coxeter-Dynkin graphs of type ADE. We show that the character values themselves can be given by an uniform formula, as special values of polynomials which arise naturally as numerators of Poincare series associated to finite subgroups of SU(2) acting on polynomials in two variables. These polynomials have been the subject of a number of investigations, but their interpretation as characters has apparently not been noticed.
LaTeX, 15 pages. Progress in Math. Birkhauser. To appear

Keywords

Representation Theory, Algebraic Geometry, 22E46, 20F55,14L40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68022

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307121
 http://arxiv.org/abs/math/0307121

Collections

arXiv