Endomorphisms of cell 2-representations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2012
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| _version_ | 1866918189175144448 |
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| author | Mazorchuk, Volodymyr Miemietz, Vanessa |
| author_facet | Mazorchuk, Volodymyr Miemietz, Vanessa |
| contents | We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the way, we completely describe J-simple fiat 2-categories which have only one two-sided cell J apart from the identities, under the same conditions as above. For positively graded 2-categories, we show that the additional restrictions are redundant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1207_6236 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Endomorphisms of cell 2-representations Mazorchuk, Volodymyr Miemietz, Vanessa Representation Theory Category Theory We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the way, we completely describe J-simple fiat 2-categories which have only one two-sided cell J apart from the identities, under the same conditions as above. For positively graded 2-categories, we show that the additional restrictions are redundant. |
| title | Endomorphisms of cell 2-representations |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/1207.6236 |