Celebrating Loday's Associahedron
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910990430371840 |
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| author | Pilaud, Vincent Santos, Francisco Ziegler, Günter M. |
| author_facet | Pilaud, Vincent Santos, Francisco Ziegler, Günter M. |
| contents | We survey Jean-Louis Loday's vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry and algebra. We present in particular four topics were it plays a central role: lattice congruences of the weak order and their quotientopes, cluster algebras and their generalized associahedra, nested complexes and their nestohedra, and operads and the associahedron diagonal. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2305_08471 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Celebrating Loday's Associahedron Pilaud, Vincent Santos, Francisco Ziegler, Günter M. Combinatorics 05C05, 52B11, 52B12 (Primary) 05C12, 05C45, 05E10, 05E45, 06A07, 06B10, 06B99, 13F50, 16T05, 16T30, 16G10, 16G20, 18M60, 18M80, 20F55, 52B05 (Secondary) We survey Jean-Louis Loday's vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry and algebra. We present in particular four topics were it plays a central role: lattice congruences of the weak order and their quotientopes, cluster algebras and their generalized associahedra, nested complexes and their nestohedra, and operads and the associahedron diagonal. |
| title | Celebrating Loday's Associahedron |
| topic | Combinatorics 05C05, 52B11, 52B12 (Primary) 05C12, 05C45, 05E10, 05E45, 06A07, 06B10, 06B99, 13F50, 16T05, 16T30, 16G10, 16G20, 18M60, 18M80, 20F55, 52B05 (Secondary) |
| url | https://arxiv.org/abs/2305.08471 |