Guardat en:
| Autor principal: | |
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| Format: | Preprint |
| Publicat: |
2005
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| Matèries: | |
| Accés en línia: | https://arxiv.org/abs/math/0512339 |
| Etiquetes: |
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Taula de continguts:
- We show that the Coxeter-sortable elements in a finite Coxeter group W are the minimal congruence-class representatives of a lattice congruence of the weak order on W. We identify this congruence as the Cambrian congruence on W, so that the Cambrian lattice is the weak order on Coxeter-sortable elements. These results exhibit W-Catalan combinatorics arising in the context of the lattice theory of the weak order on W.