Abstract
For each finite real reflection group W, we identify a copy of the type-W simplicial generalized associahedron inside the corresponding simplicial permutahedron. This defines a bijection between the facets of the generalized associahedron and the elements of the type-W non-crossing partition lattice that is more tractable than previous such bijections. We show that the simplicial fan determined by this associahedron coincides with the Cambrian fan for W.
Original language | English |
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Pages (from-to) | 299-310 |
Number of pages | 12 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 53 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 2010 |
Keywords
- associahedron
- non-crossing partition
- permutahedron
- reflection