Finite Coxeter Groups and Generalized Elnitsky Tilings
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866917728070139904 |
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| author | Nicolaides, Robert Rowley, Peter |
| author_facet | Nicolaides, Robert Rowley, Peter |
| contents | In [5], Elnitsky constructed three elegant bijections between classes of reduced words for Type $\mathrm{A}$, $\mathrm{B}$ and $\mathrm{D}$ families of Coxeter groups and certain tilings of polygons. This paper offers a particular generalization of this concept to all finite Coxeter Groups in terms of embeddings into the Symmetric Group.
[5] Elnitsky, Serge. Rhombic tilings of polygons and classes of reduced words in Coxeter groups. PhD dissertation, University of Michigan, 1993. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_10669 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Finite Coxeter Groups and Generalized Elnitsky Tilings Nicolaides, Robert Rowley, Peter Group Theory Combinatorics In [5], Elnitsky constructed three elegant bijections between classes of reduced words for Type $\mathrm{A}$, $\mathrm{B}$ and $\mathrm{D}$ families of Coxeter groups and certain tilings of polygons. This paper offers a particular generalization of this concept to all finite Coxeter Groups in terms of embeddings into the Symmetric Group. [5] Elnitsky, Serge. Rhombic tilings of polygons and classes of reduced words in Coxeter groups. PhD dissertation, University of Michigan, 1993. |
| title | Finite Coxeter Groups and Generalized Elnitsky Tilings |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2111.10669 |