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arxiv: 1707.01156 · v2 · pith:4TEVSGAWnew · submitted 2017-07-04 · 🧮 math.RT

A remark on descent for Coxeter groups

Gus Lonergan This is my paper
classification 🧮 math.RT
keywords gammacoxeterdescendsquotientreflectionspacedescentequivariant
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Let $\Gamma$ be a finite Coxeter group with reflection representation $R$. We show that a $\Gamma$-equivariant quasicoherent sheaf on $R$ descends to the quotient space $R//\Gamma$ if it descends to the quotient space $R//\langle s_i\rangle$ for every simple reflection $s_i\in \Gamma$.

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