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math.CO2018
Cyclic quasi-symmetric functions
Ron M. Adin, Ira M. Gessel, Victor Reiner +1
The ring of cyclic quasi-symmetric functions and its non-Escher subring are introduced in this paper. A natural basis consists of fundamental cyclic quasi-symmetric functions; for…
math.CO2018
Cyclic descents for near-hook and two-row shapes
Ron M. Adin, Sergi Elizalde, Yuval Roichman
A notion of cyclic descents on standard Young tableaux (SYT) of rectangular shape was introduced by Rhoades, and extended to certain skew shapes by the last two authors. The cyclic…