Duoidal R-Matrices
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910859641487360 |
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| author | Zorman, Tony |
| author_facet | Zorman, Tony |
| contents | In this note, we define an analogue of R-matrices for bialgebras in the setting of a monad that is opmonoidal over two tensor products. Analogous to the classical case, such structures bijectively correspond to duoidal structures on the Eilenberg--Moore category of the monad. Further, we investigate how a cocommutative version of this lifts the linearly distributive structure of a normal duoidal category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03445 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Duoidal R-Matrices Zorman, Tony Category Theory Quantum Algebra In this note, we define an analogue of R-matrices for bialgebras in the setting of a monad that is opmonoidal over two tensor products. Analogous to the classical case, such structures bijectively correspond to duoidal structures on the Eilenberg--Moore category of the monad. Further, we investigate how a cocommutative version of this lifts the linearly distributive structure of a normal duoidal category. |
| title | Duoidal R-Matrices |
| topic | Category Theory Quantum Algebra |
| url | https://arxiv.org/abs/2503.03445 |