Weak polynomial identities of small degree for the Weyl algebra
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914738325159936 |
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| author | Lopatin, Artem Palma, Carlos Arturo Rodriguez Tang, Liming |
| author_facet | Lopatin, Artem Palma, Carlos Arturo Rodriguez Tang, Liming |
| contents | In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and 5. We also describe weak polynomial identities is two variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14799 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak polynomial identities of small degree for the Weyl algebra Lopatin, Artem Palma, Carlos Arturo Rodriguez Tang, Liming Rings and Algebras In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and 5. We also describe weak polynomial identities is two variables. |
| title | Weak polynomial identities of small degree for the Weyl algebra |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2402.14799 |