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A remark on quiver varieties andweyl groups

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arxiv math/0003159 v1 pith:VASKWY7Q submitted 2000-03-25 math.AG

A remark on quiver varieties andweyl groups

classification math.AG
keywords quivervarietiesvarietyactionandweylcaseconnectnessdefine
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Weyl Mutations in Quiver Yangians

    hep-th 2026-01 conditional novelty 5.0

    Weyl group reflections act as Seiberg-like dualities on A_n quiver gauge theories, mapping stability chambers to each other while conjecturally leaving the quiver Yangian Y(sl_{n+1}) invariant.