Distributive coset graphs of finite Coxeter groups

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Abstract

Let W be a finite Coxeter group, W-J a parabolic subgroup of W and X-J the set of distinguished coset representatives of W-J in W equipped with the induced weak Bruhat ordering of W. All instances when X-J is a distributive lattice are known. In this note we present a new short conceptual proof of this result.
Original languageEnglish (Ireland)
Number of pages9
JournalJournal Of Group Theory
Volume6
Publication statusPublished - 1 Jan 2003

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Pfeiffer, G;Rohrle, G

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