A New Grounded Partition Identity of Type $D_4^{(3)}$
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917451532337152 |
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| author | Dombos, Benedek |
| author_facet | Dombos, Benedek |
| contents | In this paper, we prove a new Rogers-Ramanujan-type identity, involving grounded partitions, by computing a character of the affine Kac-Moody algebra $D_4^{(3)}$ in two different ways. The product side is derived using Lepowsky's product formula, while the sum side is obtained using perfect crystals with a technique of Dousse and Konan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Grounded Partition Identity of Type $D_4^{(3)}$ Dombos, Benedek Combinatorics Representation Theory In this paper, we prove a new Rogers-Ramanujan-type identity, involving grounded partitions, by computing a character of the affine Kac-Moody algebra $D_4^{(3)}$ in two different ways. The product side is derived using Lepowsky's product formula, while the sum side is obtained using perfect crystals with a technique of Dousse and Konan. |
| title | A New Grounded Partition Identity of Type $D_4^{(3)}$ |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2410.21879 |