A remark on quiver varieties andweyl groups

Details A remark on quiver varieties andweyl groups A remark on quiver varieties andweyl groups

2000-03-25

arxiv.org/abs/math/0003159v1

Mathematics

Algebraic Geometry

47 pages, Latex2e

Scientific paper

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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