Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916394072801280 |
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| author | Kushwaha, Mrigendra Singh Raghavan, K. N. Viswanath, Sankaran |
| author_facet | Kushwaha, Mrigendra Singh Raghavan, K. N. Viswanath, Sankaran |
| contents | We consider the affine Lie algebra $\widehat{\mathfrak{sl}_2}$ and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions model and describe their decomposition into irreducibles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09328 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$ Kushwaha, Mrigendra Singh Raghavan, K. N. Viswanath, Sankaran Representation Theory 17B67, 17B10 We consider the affine Lie algebra $\widehat{\mathfrak{sl}_2}$ and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions model and describe their decomposition into irreducibles. |
| title | Crystals for Kostant-Kumar modules of $\widehat{\mathfrak{sl}_2}$ |
| topic | Representation Theory 17B67, 17B10 |
| url | https://arxiv.org/abs/2409.09328 |