Affine Weyl Groups as Infinite Permutations

Henrik Eriksson, Kimmo Eriksson


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.

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