The (,1)-problem for hyperplane complements associated to infinite reflection groups

We begin by recalling some well-known facts. The natural action of the symmetric group Sn on jRn can be viewed as a group generated by reflections. The reflections in Sn are the orthogonal reflections across the hyperplanes H jj = {x E jRnlxj = x j }, 1 '.5, i < j '.5, n. The Sn-action extends to Cn (= jRn ®C) and the set of points with nontrivial isotropy group is U H jj ® C. Let M denote the quotient manifold,

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