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arXiv · 1711.05353

Quotientopes

Vincent Pilaud·Francisco Santos
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Abstract

For any lattice congruence of the weak order on $\mathfrak{S}_n$, N. Reading proved that glueing together the cones of the braid fan that belong to the same congruence class defines a complete fan. We prove that this fan is the normal fan of a polytope.

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Vincent Pilaud, Francisco Santos. 2019-02-01. Quotientopes. https://doi.org/10.1112/blms.12231

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