A remark on descent for Coxeter groups

2017/07/04 by Lonergan, Gus
#20F55 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1707.01156

Abstract

Let Γ be a finite Coxeter group with reflection representation R. We show that a Γ-equivariant quasicoherent sheaf on R descends to the quotient space R//Γ if it descends to the quotient space R//⟨ s_i⟩ for every simple reflection s_i∈ Γ.

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