Cambrian triangulations and their tropical realizations
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Publication:2011126
DOI10.1016/j.ejc.2019.07.008zbMath1428.05338arXiv1809.00719OpenAlexW2974398433MaRDI QIDQ2011126
Publication date: 28 November 2019
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.00719
Combinatorial aspects of tropical varieties (14T15) Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Shellability for polytopes and polyhedra (52B22) Combinatorial aspects of simplicial complexes (05E45)
Cites Work
- Multivariate diagonal coinvariant spaces for complex reflection groups
- Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift
- Permutahedra and generalized associahedra.
- The number of intervals in the \(m\)-Tamari lattices
- Associahedra via spines
- Faces of generalized permutohedra
- Triangulations. Structures for algorithms and applications
- Intervals in Catalan lattices and realizers of triangulations
- Cambrian fans.
- Hopf algebra of the planar binary trees
- Cluster algebras. II: Finite type classification
- The Cayley trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
- Tropical convexity
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Realizations of the associahedron and cyclohedron
- Cambrian Hopf algebras
- Higher trivariate diagonal harmonics via generalized Tamari posets
- Cambrian lattices.
- Lattice congruences of the weak order.
- On the number of intervals in Tamari lattices
- Cluster algebras I: Foundations
- Lattice Theory of the Poset of Regions
- Finite Coxeter Groups and the Weak Order
- Permutohedra, Associahedra, and Beyond
- Geometry of $\nu $-Tamari lattices in types $A$ and $B$
- Monoïdes préordonnés et chaînes de Malcev
- The enumeration of generalized Tamari intervals
- The enumeration of generalized Tamari intervals
- Permutrees