Hurwitz numbers for reflection groups III: Uniform formulas
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866908367644000256 |
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| author | Douvropoulos, Theo Lewis, Joel Brewster Morales, Alejandro H. |
| author_facet | Douvropoulos, Theo Lewis, Joel Brewster Morales, Alejandro H. |
| contents | We give uniform formulas for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus-0 Hurwitz numbers. This paper is the culmination of a series of three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04751 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hurwitz numbers for reflection groups III: Uniform formulas Douvropoulos, Theo Lewis, Joel Brewster Morales, Alejandro H. Combinatorics Group Theory 05Axx, 20F55 We give uniform formulas for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus-0 Hurwitz numbers. This paper is the culmination of a series of three. |
| title | Hurwitz numbers for reflection groups III: Uniform formulas |
| topic | Combinatorics Group Theory 05Axx, 20F55 |
| url | https://arxiv.org/abs/2308.04751 |