The representation theory of Brauer categories I: triangular categories
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866909343192973312 |
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| author | Sam, Steven V Snowden, Andrew |
| author_facet | Sam, Steven V Snowden, Andrew |
| contents | This is the first in a series of papers in which we study representations of the Brauer category and its allies. We define a general notion of triangular category that abstracts key properties of the triangular decomposition of a semisimple complex Lie algebra, and develop a highest weight theory for them. We show that the Brauer category, the partition category, and a number of related diagram categories admit this structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_04328 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The representation theory of Brauer categories I: triangular categories Sam, Steven V Snowden, Andrew Representation Theory This is the first in a series of papers in which we study representations of the Brauer category and its allies. We define a general notion of triangular category that abstracts key properties of the triangular decomposition of a semisimple complex Lie algebra, and develop a highest weight theory for them. We show that the Brauer category, the partition category, and a number of related diagram categories admit this structure. |
| title | The representation theory of Brauer categories I: triangular categories |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2006.04328 |