A Difference Formula for Tensor-power Multiplicities
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909949606494208 |
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| author | Shu, Hongfei Zhao, Peng Zhu, Rui-Dong Zou, Hao |
| author_facet | Shu, Hongfei Zhao, Peng Zhu, Rui-Dong Zou, Hao |
| contents | A novel combinatorial formula is developed for for tensor product multiplicities in representation theory. We introduce a difference formula linking these multiplicities to restricted occupancy coefficients via a shifted operator. This method is extended to derive branching rules for subalgebras and is conjecturally applied to A-type Lie superalgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07586 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Difference Formula for Tensor-power Multiplicities Shu, Hongfei Zhao, Peng Zhu, Rui-Dong Zou, Hao Representation Theory High Energy Physics - Theory Mathematical Physics A novel combinatorial formula is developed for for tensor product multiplicities in representation theory. We introduce a difference formula linking these multiplicities to restricted occupancy coefficients via a shifted operator. This method is extended to derive branching rules for subalgebras and is conjecturally applied to A-type Lie superalgebras. |
| title | A Difference Formula for Tensor-power Multiplicities |
| topic | Representation Theory High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2512.07586 |