Affine Weyl Groups as Infinite Permutations

نویسندگان

  • Henrik Eriksson
  • Kimmo Eriksson
چکیده

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. 1991 Mathematics Subject Classification. primary 20B35; secondary 05A15.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 5  شماره 

صفحات  -

تاریخ انتشار 1998