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Positive $m$-divisible non-crossing partitions and their Kreweras maps
Christian Krattenthaler (Universit\"at Wien), Christian Stump (Ruhr-Universit\"at Bochum)
https://arxiv.org/abs/2506.14996

Positive $m$-divisible non-crossing partitions and their Kreweras maps
We study positive $m$-divisible non-crossing partitions and their positive Kreweras maps. In classical types, we describe their combinatorial realisations as certain non-crossing set partitions. We also realise these positive Kreweras maps as pseudo-rotations on a circle, respectively on an annulus. We enumerate positive $m$-divisible non-crossing partitions in classical types that are invariant under powers of the positive Kreweras maps with respect to several parameters. In order to cope with…

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