Cyclic descents, matchings and Schur-positivity

Ron M. Adin; Yuval Roichman

doi:10.37236/11761

Cyclic descents, matchings and Schur-positivity

Ron M. Adin, Yuval Roichman

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Article number	#P2.41
Journal	Electronic Journal of Combinatorics
Volume	30
Issue number	2
DOIs	https://doi.org/10.37236/11761
State	Published - 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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10.37236/11761

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Cyclic descents, matchings and Schur-positivity

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