Note on the expected number of Yang-Baxter moves applicable to reduced decompositions

Victor Reiner

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12 Scopus citations

Abstract

The expected number of Yang-Baxter moves applicable to a reduced decomposition of the longest element in the symmetric group on n letters is observed to be 1, independent of n.

Original languageEnglish (US)
Pages (from-to)1019-1021
Number of pages3
JournalEuropean Journal of Combinatorics
Volume26
Issue number6 SPEC. ISS.
DOIs
StatePublished - Jul 2005

Bibliographical note

Funding Information:
Thanks to David Gillman for suggesting Conjecture 2 based on preliminary data, and to an anonymous referee for helpful comments. Supported by NSF grant DMS9877047.

Keywords

  • Poisson
  • Reduced decomposition
  • Reduced word
  • Symmetric group
  • Yang-Baxter

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