Fully commutative elements of the complex reflection groups

Gabriel Feinberg, Sungsoon Kim, Kyu Hwan Lee, Se jin Oh

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We extend the usual notion of fully commutative elements from the finite Coxeter groups to the complex reflection groups. We decompose the sets of fully commutative elements into natural subsets according to their combinatorial properties, and investigate the structure of these decompositions. As a consequence, we enumerate and describe the form of these elements for the complex reflection groups.

Original languageEnglish
Pages (from-to)371-394
Number of pages24
JournalJournal of Algebra
StatePublished - 15 Sep 2020

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.


  • Catalan Triangle
  • Catalan numbers
  • Complex reflection groups
  • Fully commutative elements


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