Abstract
A complex Σ is called a Coxeter complex if it is a thin chamber complex, and if for every pair (C, C′) of adjacent chambers, there exists a root containing C and not C′, which means, in other words, that there exists a folding of Σ which maps C′ onto C. In this section 2, the letter Σ will always denote a Coxeter complex. The group generated by all reflections of a Coxeter complex Σ will be denoted by W(Σ) and called the Weyl group of Σ.
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© 1974 Springer-Verlag Berlin Heidelberg
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(1974). Coxeter complexes. In: Buildings of Spherical Type and Finite BN-Pairs. Lecture Notes in Mathematics, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38349-9_2
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DOI: https://doi.org/10.1007/978-3-540-38349-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06757-3
Online ISBN: 978-3-540-38349-9
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