Quantised $\mathfrak{sl}_2$-differential algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913619886735360 |
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| author | Krutov, Andrey Pandžić, Pavle |
| author_facet | Krutov, Andrey Pandžić, Pavle |
| contents | We propose a definition of a quantised $\mathfrak{sl}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of $\mathfrak{sl}_2$ are natural examples of such algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08521 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantised $\mathfrak{sl}_2$-differential algebras Krutov, Andrey Pandžić, Pavle Quantum Algebra 16T20, 81R50, 17B37 We propose a definition of a quantised $\mathfrak{sl}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of $\mathfrak{sl}_2$ are natural examples of such algebras. |
| title | Quantised $\mathfrak{sl}_2$-differential algebras |
| topic | Quantum Algebra 16T20, 81R50, 17B37 |
| url | https://arxiv.org/abs/2403.08521 |