The nil Hecke ring and Deodhar's conjecture on Bruhat intervals.
Inventiones mathematicae, Tome 111 (1993) no. 1, pp. 571-574.

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Mots-clés : nil Hecke ring, Coxeter system, length function, Bruhat order, reflections
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     author = {M.J. Dyer},
     title = {The nil {Hecke} ring and {Deodhar's} conjecture on {Bruhat} intervals.},
     journal = {Inventiones mathematicae},
     pages = {571--574},
     publisher = {mathdoc},
     volume = {111},
     number = {1},
     year = {1993},
     zbl = {0813.20043},
     url = {http://geodesic.mathdoc.fr/item/IM_1993__111_1_144089/}
}
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M.J. Dyer. The nil Hecke ring and Deodhar's conjecture on Bruhat intervals.. Inventiones mathematicae, Tome 111 (1993) no. 1, pp. 571-574. http://geodesic.mathdoc.fr/item/IM_1993__111_1_144089/