A short derivation of the Möbius function for the Bruhat order.
Journal of Algebraic Combinatorics, Tome 25 (2007) no. 2, pp. 141-148.

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Summary: We give a short, self-contained derivation of the Möbius function for the Bruhat orderings of Coxeter groups and their parabolic quotients.
Keywords: keywords Coxeter group, Bruhat order, Möbius function
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Stembridge, John R. A short derivation of the Möbius function for the Bruhat order.. Journal of Algebraic Combinatorics, Tome 25 (2007) no. 2, pp. 141-148. http://geodesic.mathdoc.fr/item/JAC_2007__25_2_a5/