Notes on Coxeter Transformations and the McKay Correspondence

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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. Th...

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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. Th...

Read more
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  • Formats: pdf
  • ISBN: 9783540773993
  • Publication Date: 18 Jan 2008
  • Publisher: Springer Berlin Heidelberg
  • Product language: English
  • Drm Setting: DRM