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Affine Weyl groups as infinite permutations
The electronic journal of combinatorics, Tome 5 (1998)
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We present a unified theory for permutation models of all the infinite families of finite and affine Weyl groups, including interpretations of the length function and the weak order. We also give new combinatorial proofs of Bott's formula (in the refined version of Macdonald) for the Poincaré series of these affine Weyl groups.
DOI : 10.37236/1356
Classification : 20B35, 20F55, 20G05, 05E10, 05A15
Mots-clés : permutation models, finite Weyl groups, affine Weyl groups, length functions, Bott formula, Poincaré series 
@article{10_37236_1356,
     author = {Henrik Eriksson and Kimmo Eriksson},
     title = {Affine {Weyl} groups as infinite permutations},
     journal = {The electronic journal of combinatorics},
     year = {1998},
     volume = {5},
     doi = {10.37236/1356},
     zbl = {0889.20002},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1356/}
}
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%A Kimmo Eriksson
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Henrik Eriksson; Kimmo Eriksson. Affine Weyl groups as infinite permutations. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1356

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