The Weak Order on Weyl Posets
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Publication:3300096
DOI10.4153/S0008414X19000063MaRDI QIDQ3300096
Publication date: 27 July 2020
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.06572
Reflection and Coxeter groups (group-theoretic aspects) (20F55) Logical aspects of lattices and related structures (03G10) Lattices (06B99)
Uses Software
Cites Work
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- Permutahedra and generalized associahedra.
- Sortable elements and Cambrian lattices.
- Cambrian fans.
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- \(Y\)-systems and generalized associahedra
- The weak order on integer posets
- Realization of the Stasheff polytope
- Realizations of the associahedron and cyclohedron
- Weak Bruhat order on the set of faces of the permutohedron and the associahedron.
- Cambrian lattices.
- Lattice congruences of the weak order.
- Cluster algebras I: Foundations
- Finite Coxeter Groups and the Weak Order
- Combinatorics of Coxeter Groups
- Clusters, Coxeter-sortable elements and noncrossing partitions
- The facial weak order and its lattice quotients
- Polytopal Realizations of Generalized Associahedra
- Permutahedra and Associahedra
- From the Tamari Lattice to Cambrian Lattices and Beyond
- Convex Geometries on Root Systems
- Permutrees
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