From the Tamari lattice to Cambrian lattices and beyond
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2011
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| _version_ | 1866913117302161408 |
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| author | Reading, Nathan |
| author_facet | Reading, Nathan |
| contents | In this chapter, we trace the path from the Tamari lattice, via lattice congruences of the weak order, to the definition of Cambrian lattices in the context of finite Coxeter groups, and onward to the construction of Cambrian fans. We then present sortable elements, the key combinatorial tool for studying Cambrian lattices and fans. The chapter concludes with a brief description of the applications of Cambrian lattices and sortable elements to Coxeter-Catalan combinatorics and to cluster algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1109_5105 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | From the Tamari lattice to Cambrian lattices and beyond Reading, Nathan Combinatorics 20F55, 06B10, 05E15 In this chapter, we trace the path from the Tamari lattice, via lattice congruences of the weak order, to the definition of Cambrian lattices in the context of finite Coxeter groups, and onward to the construction of Cambrian fans. We then present sortable elements, the key combinatorial tool for studying Cambrian lattices and fans. The chapter concludes with a brief description of the applications of Cambrian lattices and sortable elements to Coxeter-Catalan combinatorics and to cluster algebras. |
| title | From the Tamari lattice to Cambrian lattices and beyond |
| topic | Combinatorics 20F55, 06B10, 05E15 |
| url | https://arxiv.org/abs/1109.5105 |