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 |
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Article number | #P2.41 |
Journal | Electronic Journal of Combinatorics |
Volume | 30 |
Issue number | 2 |
DOIs | |
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.