The M-triangle of generalised non-crossing partitions for the types E7 and E8

@inproceedings{Krattenthaler2006TheMO,
title={The M-triangle of generalised non-crossing partitions for the types E7 and E8},
author={Christian Krattenthaler},
year={2006}
}

The M -triangle of a ranked locally finite poset P is the generating function P u,w∈P μ(u, w) x rk uyrk w, where μ(., .) is the Möbius function of P . We compute the M triangle of Armstrong’s poset of m-divisible non-crossing partitions for the root systems of type E7 and E8. For the other types except Dn this had been accomplished in the earlier paper “The F -triangle of the generalised cluster complex” [in: “Topics in Discrete Mathematics,” M. Klazar, J. Kratochvil, M. Loebl, J. Matoušek, R… CONTINUE READING