Cyclic descents, matchings and Schur-positivity

Research output: Contribution to journalArticlepeer-review

Abstract

A new descent set statistic on involutions, defined geometrically via their inter-pretation as matchings, is introduced in this paper, and shown to be equidistributed with the standard one. This concept is then applied to construct explicit cyclic descent extensions on involutions, standard Young tableaux and Motzkin paths. Schur-positivity of the associated quasisymmetric functions follows.

Original languageEnglish
Article number#P2.41
JournalElectronic Journal of Combinatorics
Volume30
Issue number2
DOIs
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

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