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Quotientopes
classification
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math.MG
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congruencebelongbraidclasscompleteconesdefinesglueing
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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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