Isomeric Heisenberg and Kac-Moody categorification I
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909920016728064 |
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| author | Brundan, Jonathan Savage, Alistair |
| author_facet | Brundan, Jonathan Savage, Alistair |
| contents | We develop a general framework for studying Abelian categories arising in isomeric representation theory, that is, representation theory broadly related to the supergroup Q(n). In this first part, we introduce notions of isomeric Heisenberg categorification and isomeric Kac-Moody categorication, and explain how to pass from the former to the latter. This is analogous to the passage from Heisenberg categorification to Kac-Moody categorification developed in our previous work with Webster. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18587 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomeric Heisenberg and Kac-Moody categorification I Brundan, Jonathan Savage, Alistair Representation Theory 17B37, 18M05, 18M30 We develop a general framework for studying Abelian categories arising in isomeric representation theory, that is, representation theory broadly related to the supergroup Q(n). In this first part, we introduce notions of isomeric Heisenberg categorification and isomeric Kac-Moody categorication, and explain how to pass from the former to the latter. This is analogous to the passage from Heisenberg categorification to Kac-Moody categorification developed in our previous work with Webster. |
| title | Isomeric Heisenberg and Kac-Moody categorification I |
| topic | Representation Theory 17B37, 18M05, 18M30 |
| url | https://arxiv.org/abs/2511.18587 |