Some combinatorial results for complex reflection groups


Can H.

EUROPEAN JOURNAL OF COMBINATORICS, cilt.19, ss.901-909, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 8
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1006/eujc.1998.0236
  • Dergi Adı: EUROPEAN JOURNAL OF COMBINATORICS
  • Sayfa Sayısı: ss.901-909

Özet

In this paper, we prove that a simple system for a subsystem Psi of the complex root system Phi can always be chosen as a subset of the positive system Phi(+) of Phi. Furthermore, we show that a set of distinguished coset representatives can be found for every reflection subgroup of the complex reflection groups. The corresponding results for real crystallographic root systems and their reflection groups (i.e., Weyl groups) are well known (see [9]). (C) 1998 Academic Press.