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math.CO2019
Higher Lie characters and cyclic descent extension on conjugacy classes
Ron M. Adin, Pál Hegedüs, Yuval Roichman
A now-classical cyclic extension of the descent set of a permutation has been introduced by Klyachko and Cellini. Following a recent axiomatic approach to this notion, it is natura…
math.CO2019
On cyclic Schur-positive sets of permutation
Jonathan Bloom, Sergi Elizalde, Yuval Roichman
We introduce a notion of {\em cyclic Schur-positivity} for sets of permutations, which naturally extends the classical notion of Schur-positivity, and it involves the existence of…