Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866912058467942400 |
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| author | Norris, Miriam G |
| author_facet | Norris, Miriam G |
| contents | Following work of Brundan and Kleshchev (2000), which considered tensor products with the natural module (and its dual) for $\text{GL}(n)$, we take the next fundamental module and explore the relationship between multiplicities of composition factors of tensor products of simple modules for $\text{GL}(n)$ and branching multiplicities. In doing this we provide a method for determining the composition multiplicities for some composition factors of tensor products of simple modules with the wedge square of the dual natural module. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$ Norris, Miriam G Representation Theory Group Theory Following work of Brundan and Kleshchev (2000), which considered tensor products with the natural module (and its dual) for $\text{GL}(n)$, we take the next fundamental module and explore the relationship between multiplicities of composition factors of tensor products of simple modules for $\text{GL}(n)$ and branching multiplicities. In doing this we provide a method for determining the composition multiplicities for some composition factors of tensor products of simple modules with the wedge square of the dual natural module. |
| title | Composition Multiplicities of Tensor Products and Branching Multiplicities for $\text{GL}(n)$ |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2410.03400 |