Monoidal adjunctions and abelian envelopes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908859883323392 |
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| author | Flake, Johannes Laugwitz, Robert Posur, Sebastian |
| author_facet | Flake, Johannes Laugwitz, Robert Posur, Sebastian |
| contents | We show how monoidal adjunctions can be used to prove the existence of monoidal abelian envelopes of pseudo-tensor categories, in particular, those admitting a combinatorial description with certain properties. We derive concrete general criteria, which we then demonstrate by giving relatively simple combinatorial proofs of the existence of new abelian envelopes for interpolation categories of the hyperoctahedral and of the modified symmetric groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16092 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Monoidal adjunctions and abelian envelopes Flake, Johannes Laugwitz, Robert Posur, Sebastian Representation Theory Category Theory We show how monoidal adjunctions can be used to prove the existence of monoidal abelian envelopes of pseudo-tensor categories, in particular, those admitting a combinatorial description with certain properties. We derive concrete general criteria, which we then demonstrate by giving relatively simple combinatorial proofs of the existence of new abelian envelopes for interpolation categories of the hyperoctahedral and of the modified symmetric groups. |
| title | Monoidal adjunctions and abelian envelopes |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2601.16092 |