Cyclic descents, matchings and Schur-positivity

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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
Issue number2
StatePublished - 2023

Bibliographical note

Funding Information:
∗Both authors were partially supported by the Israel Science Foundation, Grant No. 1970/18.

Publisher Copyright:
© The authors.


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