Geodesic
Cyclic descents, matchings and Schur-positivity
Ron M Adin1 ; Yuval Roichman1
1Bar-Ilan University
The electronic journal of combinatorics, Tome 30 (2023) no. 2

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Zbl DOI arXiv
A new descent set statistic on involutions, defined geometrically via their interpretation 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.
DOI : 10.37236/11761
Classification : 05E10, 05E05, 05A15, 05A19
Mots-clés : cyclic descent extensions on involutions, standard Young tableaux, Motzkin paths, quasisymmetric functions

Ron M Adin  1   ; Yuval Roichman  1

1 Bar-Ilan University 
Ron M Adin; Yuval Roichman. Cyclic descents, matchings and Schur-positivity. The electronic journal of combinatorics, Tome 30 (2023) no. 2. doi: 10.37236/11761
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     title = {Cyclic descents, matchings and {Schur-positivity}},
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     year = {2023},
     volume = {30},
     number = {2},
     doi = {10.37236/11761},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/11761/}
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