Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac

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We consider quiver representations respecting a quiver automorphism and show that the dimension vectors of the indecomposables are precisely the positive roots of an associated symmetrisable Kac-Moody Lie algebra. Moreover, every such Lie algebra arises in this way. We also discuss the relationship with species of valued quivers over finite fields.
corrected typos; more transparent arguments in sections 4 and 6

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Representation Theory, Rings and Algebras, 16G20;17B67;16S35

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http://salesiana.dossiersoluciones.com/handle/123456789/63604

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203195
 http://arxiv.org/abs/math/0203195

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arXiv