Coxeter Complexes

Kenneth S. Brown
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Kenneth S. Brown: Cornell University, Department of Mathematics

Chapter III in Buildings, 1989, pp 58-75 from Springer

Abstract: Abstract Assume throughout this chapter that (W,S) is a Coxeter system with S finite. Let ∑ = ′(W,S) be the poset which was defined at the beginning of Chapter II. Following Tits, we will call ∑ the Coxeter complex associated to (W,S). The word “complex” will be justified below, when we prove that ∑ is indeed a simplicial complex. The purpose of this chapter is to develop the geometric properties of Coxeter complexes.

Keywords: Simplicial Complex; Coxeter Group; Special Subgroup; Reflection Group; Coxeter System (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4612-1019-1_3

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