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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cartan matrices, finite groups of quaternions, and Kleinian singularities


Author: John McKay
Journal: Proc. Amer. Math. Soc. 81 (1981), 153-154
MSC: Primary 20C15; Secondary 32B30, 57R45
MathSciNet review: 589160
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Abstract: The eigenvectors of the Cartan matrices of affine type $ {A_r}$, $ {D_r}$, $ {E_6}$, $ {E_7}$, and $ {E_8}$ can be taken to be the columns of the character tables of the finite groups of quaternions.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0589160-8
PII: S 0002-9939(1981)0589160-8
Article copyright: © Copyright 1981 American Mathematical Society