Hyperoctahedral Schur Category and Hyperoctahedral Web Category
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917586019549184 |
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| author | Masroor, Razzi |
| author_facet | Masroor, Razzi |
| contents | We extend the Schur algebra and the polynomial web category of the symmetric group to the hyperoctahedral group. In particular, we define the hyperoctahedral web category diagrammatically by generators and relations, and prove that it is equivalent to the hyperoctahedral Schur category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06405 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyperoctahedral Schur Category and Hyperoctahedral Web Category Masroor, Razzi Representation Theory Quantum Algebra 20F55, 16S15, 20C08 We extend the Schur algebra and the polynomial web category of the symmetric group to the hyperoctahedral group. In particular, we define the hyperoctahedral web category diagrammatically by generators and relations, and prove that it is equivalent to the hyperoctahedral Schur category. |
| title | Hyperoctahedral Schur Category and Hyperoctahedral Web Category |
| topic | Representation Theory Quantum Algebra 20F55, 16S15, 20C08 |
| url | https://arxiv.org/abs/2402.06405 |