Demazure product and hopping in type D
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912144824467456 |
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| author | Han, Darren Huang, Michelle Keller, Benjamin Oh, Suho Zhang, Jerry |
| author_facet | Han, Darren Huang, Michelle Keller, Benjamin Oh, Suho Zhang, Jerry |
| contents | The Demazure product, also called the 0-Hecke product, is an associative operation on Coxeter groups with interesting properties and applications. In (Li et al 2024) it was shown that the Demazure product of two permutations can be described purely combinatorially: using only their one-line notation and not relying on reduced words. In this paper, we extend this to type D Coxeter groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18584 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Demazure product and hopping in type D Han, Darren Huang, Michelle Keller, Benjamin Oh, Suho Zhang, Jerry Combinatorics 20F55, 05E15, 20B30, 22E40 The Demazure product, also called the 0-Hecke product, is an associative operation on Coxeter groups with interesting properties and applications. In (Li et al 2024) it was shown that the Demazure product of two permutations can be described purely combinatorially: using only their one-line notation and not relying on reduced words. In this paper, we extend this to type D Coxeter groups. |
| title | Demazure product and hopping in type D |
| topic | Combinatorics 20F55, 05E15, 20B30, 22E40 |
| url | https://arxiv.org/abs/2411.18584 |