The field of definition of a real representation of a quiver $Q$
HTML articles powered by AMS MathViewer
- by Aidan Schofield PDF
- Proc. Amer. Math. Soc. 116 (1992), 293-295 Request permission
Abstract:
In answer to a question of Kac, we show that if $\alpha$ is a real root for the quiver $Q$, then there is a unique indecomposable of dimension vector $\alpha$ defined over the rational numbers.References
- V. G. Kac, Infinite root systems, representations of graphs and invariant theory, Invent. Math. 56 (1980), no. 1, 57–92. MR 557581, DOI 10.1007/BF01403155
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 293-295
- MSC: Primary 16G20; Secondary 17B20
- DOI: https://doi.org/10.1090/S0002-9939-1992-1072091-4
- MathSciNet review: 1072091