Lattices in Finite Real Reflection Groups Thomas Brady and Colum Watt
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چکیده
For a finite real reflection group W with Coxeter element γ we give a uniform proof that the closed interval, [I, γ] forms a lattice in the partial order on W induced by reflection length. The proof involves the construction of a simplicial complex which can be embedded in the type W simplicial generalised associahedron.
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تاریخ انتشار 2008