Generalized Goulden-Yong duals and signed minimal factorizations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914765274611712 |
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| author | Chen, Shujian Igusa, Kiyoshi |
| author_facet | Chen, Shujian Igusa, Kiyoshi |
| contents | We show the equivalence between one-way reflections and relative projective representations. We construct generalized Goulden-Yong duals using reverse Garside element actions and folded chord diagrams. We give two applications of the generalized Goulden-Yong duals: constructing generalized Prüfer codes and counting signed factorizations using the matrix-tree theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_05732 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized Goulden-Yong duals and signed minimal factorizations Chen, Shujian Igusa, Kiyoshi Combinatorics Representation Theory 05E10 We show the equivalence between one-way reflections and relative projective representations. We construct generalized Goulden-Yong duals using reverse Garside element actions and folded chord diagrams. We give two applications of the generalized Goulden-Yong duals: constructing generalized Prüfer codes and counting signed factorizations using the matrix-tree theorem. |
| title | Generalized Goulden-Yong duals and signed minimal factorizations |
| topic | Combinatorics Representation Theory 05E10 |
| url | https://arxiv.org/abs/2311.05732 |