Quiver connections and bimodules of basic algebras
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916224050397184 |
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| author | Thompson, Sean |
| author_facet | Thompson, Sean |
| contents | Motivated by the problem of classifying quantum symmetries of non-semisimple, finite-dimensional associative algebras, we define a notion of connection between bounded quivers and build a bicategory of bounded quivers and quiver connections. We prove this bicategory is equivalent to a bicategory of basic algebras, bimodules, and intertwiners with some additional structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17002 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quiver connections and bimodules of basic algebras Thompson, Sean Category Theory Quantum Algebra Rings and Algebras Motivated by the problem of classifying quantum symmetries of non-semisimple, finite-dimensional associative algebras, we define a notion of connection between bounded quivers and build a bicategory of bounded quivers and quiver connections. We prove this bicategory is equivalent to a bicategory of basic algebras, bimodules, and intertwiners with some additional structure. |
| title | Quiver connections and bimodules of basic algebras |
| topic | Category Theory Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2404.17002 |