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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.19205 |
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| _version_ | 1866916725803450368 |
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| author | Gunna, Ajeeth Wheeler, Michael Zinn-Justin, Paul |
| author_facet | Gunna, Ajeeth Wheeler, Michael Zinn-Justin, Paul |
| contents | We provide a combinatorial formula for the structure constants of spin Hall--Littlewood functions. This is achieved by representing these functions and the structure constants as the partition function of a lattice model and applying the underlying Yang--Baxter equation. Our combinatorial expression is in terms of generalised honeycombs; the latter were introduced by Knutson and Tao for ordinary Littlewood--Richardson coefficients and applied to the computation of Hall polynomials by Zinn--Justin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19205 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure constants for spin Hall--Littlewood functions Gunna, Ajeeth Wheeler, Michael Zinn-Justin, Paul Combinatorics We provide a combinatorial formula for the structure constants of spin Hall--Littlewood functions. This is achieved by representing these functions and the structure constants as the partition function of a lattice model and applying the underlying Yang--Baxter equation. Our combinatorial expression is in terms of generalised honeycombs; the latter were introduced by Knutson and Tao for ordinary Littlewood--Richardson coefficients and applied to the computation of Hall polynomials by Zinn--Justin. |
| title | Structure constants for spin Hall--Littlewood functions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2504.19205 |