A remark on quiver varieties andweyl groups

Andrea Maffei

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arXiv · math/0003159

A remark on quiver varieties andweyl groups

Andrea Maffei

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Abstract

In this paper we define an action of the Weyl group on the quiver varieties $M_{m,\grl}(d,v)$ with generic $(m,\grl)$. To do it we describe a set of generators of the projective ring of a quiver variety. We also prove connectness for the smooth quiver variety $M(d,v)$ and normality for $M_0(d,v)$ in the case of a quiver of finite type and $d-v$ a regular weight.

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Andrea Maffei. 2000-03-25. A remark on quiver varieties andweyl groups. https://arxiv.org/abs/math/0003159

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