Affine Lie Algebras and Tame Quivers

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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.
48 pages

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Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/59178

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005119
 http://arxiv.org/abs/math/0005119

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arXiv