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On the McKay quivers and m-Cartan matrices

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Abstract

In this paper, we introduce the m-Cartan matrix and observe that some properties of the quadratic form associated to the Cartan matrix of an Euclidean diagram can be generalized to the m-Cartan matrix of a McKay quiver. We also describe the McKay quiver for a finite abelian subgroup of a special linear group.

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Authors and Affiliations

  1. School of Mathematics and Computational Sciences, Xiangtan University, Xiangtan, 411105, China

    JinYun Guo

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  1. JinYun Guo
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Correspondence to JinYun Guo.

Additional information

Dedicated to Professor LIU ShaoXue on the occasion of his 80th birthday

This work was supported by National Natural Science Foundation of China (Grant No. 10671061) and the Research Foundation for Doctor Programme (Grant No. 200505042004)

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Guo, J. On the McKay quivers and m-Cartan matrices. Sci. China Ser. A-Math. 52, 511–516 (2009). https://doi.org/10.1007/s11425-008-0176-y

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  • DOI: https://doi.org/10.1007/s11425-008-0176-y

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