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Affine Lie Algebras and Tame Quivers

Igor Frenkel·Anton Malkin·Maxim Vybornov
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Abstract

C.M. Ringel defined Hall algebra associated with the category of representations of a quiver of Dynkin type and gave an explicit description of the structure constants of the corresponding Lie algebra. We utilize functorial properties of the Hall algebra to give a simple proof of Ringel's result, and to generalize it to the case of a quiver of affine type.

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BibTeXRIS

Igor Frenkel, Anton Malkin, Maxim Vybornov. 2000-05-11. Affine Lie Algebras and Tame Quivers. https://arxiv.org/abs/math/0005119

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