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math.CO2020★ 1 cited
Flip actions and Gelfand pairs for affine Weyl groups
Ron M. Adin, Pál Hegedüs, Yuval Roichman
Several combinatorial actions of the affine Weyl group of type on triangulations, trees, words and permutations are compared. Addressing a question of David Vog…
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…