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Symmetric chain decompositions of B_n and Pi_n

Erensto Damiani·Ottavio D'Antona·Daniel E. Loeb
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Abstract

We review the Green/Kleitman/Leeb interpretation of de Bruijn's symmetric chain decomposition of ${\cal B}_{n}$, and explain how it can be used to find a maximal collection of disjoint symmetric chains in the nonsymmetric lattice of partitions of a set.

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Erensto Damiani, Ottavio D'Antona, Daniel E. Loeb. 1995-02-09. Symmetric chain decompositions of B_n and Pi_n. https://arxiv.org/abs/math/9502224

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