Branching rule on winding subalgebras of affine Kac-Moody algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866908474628112384 |
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| author | Duc, Khanh Nguyen |
| author_facet | Duc, Khanh Nguyen |
| contents | In this paper, by using the Lakshmibai-Seshadri paths, we give the branching rule for representations of affine Kac-Moody algebras to their winding subalgebras. As a corollary, we can describe branching multiplicities in the language of paths. An analog of Steinberg's formula for branching multiplicities is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Branching rule on winding subalgebras of affine Kac-Moody algebras Duc, Khanh Nguyen Representation Theory 17B67, 17B10 (primary), 22E65 (secondary) In this paper, by using the Lakshmibai-Seshadri paths, we give the branching rule for representations of affine Kac-Moody algebras to their winding subalgebras. As a corollary, we can describe branching multiplicities in the language of paths. An analog of Steinberg's formula for branching multiplicities is also given. |
| title | Branching rule on winding subalgebras of affine Kac-Moody algebras |
| topic | Representation Theory 17B67, 17B10 (primary), 22E65 (secondary) |
| url | https://arxiv.org/abs/2507.04145 |