Counting chains in the noncrossing partition lattice via the W-Laplacian

Overview of attention for article published in Journal of Algebra, July 2022

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RT @mathCObot: Guillaume Chapuy, Theo Douvropoulos: Counting chains in the noncrossing partition lattice via the W-Laplacian https://t.co/M…

of spherical and affine Artin groups. [3/3 of https://t.co/p3l7qqbBp7]

the Deligne-Reading recursion with a parabolic recursion for the characteristic polynomial of the $W$-Laplacian matrix considered in our previous work. We further discuss the consequences of this formula for the geometric group theory [2/3 of https://t.…

We give an elementary, case-free, Coxeter-theoretic derivation of the formula $h^nn!/|W|$ for the number of maximal chains in the noncrossing partition lattice $NC(W)$ of a real reflection group $W$. Our proof proceeds by comparing [1/3 of https://t.co/…

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