Rational Schur Superalgebras
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916264098660352 |
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| author | Riesen, Andrew |
| author_facet | Riesen, Andrew |
| contents | We develop and study the generalization of rational Schur algebras to the super setting. Similar to the classical case, this provides a new method for studying rational supermodules of the general linear supergroup $GL(m|n)$. Furthermore, we establish a Schur-Weyl duality result for rational Schur superalgebras and conclude that under certain conditions these objects will be semisimple. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01866 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rational Schur Superalgebras Riesen, Andrew Representation Theory We develop and study the generalization of rational Schur algebras to the super setting. Similar to the classical case, this provides a new method for studying rational supermodules of the general linear supergroup $GL(m|n)$. Furthermore, we establish a Schur-Weyl duality result for rational Schur superalgebras and conclude that under certain conditions these objects will be semisimple. |
| title | Rational Schur Superalgebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2301.01866 |