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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2410.04902 |
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| _version_ | 1866917796185636864 |
|---|---|
| author | Gould, Mark Zhang, Yang |
| author_facet | Gould, Mark Zhang, Yang |
| contents | In terms of highest weights, we establish branching rules for finite dimensional unitary simple modules of the general linear Lie superalgebra $\mathfrak{gl}_{m|n}$. Our proof uses the Howe duality for $\mathfrak{gl}_{m|n}$, as well as branching rules for Kac modules. Moreover, we derive the branching rules of type 2 unitary simple $\mathfrak{gl}_{m|n}$-modules, which are dual to the aforementioned unitary modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unitary branching rules for the general linear Lie superalgebra Gould, Mark Zhang, Yang Representation Theory Mathematical Physics 17B10, 05E10 In terms of highest weights, we establish branching rules for finite dimensional unitary simple modules of the general linear Lie superalgebra $\mathfrak{gl}_{m|n}$. Our proof uses the Howe duality for $\mathfrak{gl}_{m|n}$, as well as branching rules for Kac modules. Moreover, we derive the branching rules of type 2 unitary simple $\mathfrak{gl}_{m|n}$-modules, which are dual to the aforementioned unitary modules. |
| title | Unitary branching rules for the general linear Lie superalgebra |
| topic | Representation Theory Mathematical Physics 17B10, 05E10 |
| url | https://arxiv.org/abs/2410.04902 |