An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909455224930304 |
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| author | Cohen, Jesse |
| author_facet | Cohen, Jesse |
| contents | We show that there is an associative algebra $\widetilde{H}_n$ such that, over a base ring $R$ of characteristic 2, Khovanov's arc algebra $H_n$ is isomorphic to the algebra $\widetilde{H}_n[x]/(x^2)$. We also show a similar result for bimodules associated to planar tangles and prove that there is no such isomorphism over $\mathbb{Z}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01705 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2 Cohen, Jesse Geometric Topology Quantum Algebra Representation Theory 57K18 (Primary) 57K16, 16D20, 16W50 (Secondary) We show that there is an associative algebra $\widetilde{H}_n$ such that, over a base ring $R$ of characteristic 2, Khovanov's arc algebra $H_n$ is isomorphic to the algebra $\widetilde{H}_n[x]/(x^2)$. We also show a similar result for bimodules associated to planar tangles and prove that there is no such isomorphism over $\mathbb{Z}$. |
| title | An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2 |
| topic | Geometric Topology Quantum Algebra Representation Theory 57K18 (Primary) 57K16, 16D20, 16W50 (Secondary) |
| url | https://arxiv.org/abs/2209.01705 |