The Cambrian

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For an arbitrary finite Coxeter group W , we define the family of Cambrian lattices for W as quotients of the weak order on W with respect to certain lattice congruences. We associate to each Cambrian lattice a complete fan, which we conjecture is the normal fan of a polytope combinatorially isomorphic to the generalized associahedron for W . In types A and B, we obtain, by means of a fiber-pol...

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ژورنال

عنوان ژورنال: Nature

سال: 2011

ISSN: 0028-0836,1476-4687

DOI: 10.1038/471260a