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Others: Quasi-homogeneity of superpotentials
| Title | Quasi-homogeneity of superpotentials |
|---|---|
| Authors | |
| Issue Date | 2018 |
| Citation | Hua, Z & Zhou, GS. Quasi-homogeneity of superpotentials (2018). Retrieved from arXiv: https://arxiv.org/abs/1808.03754 How to Cite? |
| Abstract | In this article, we study the quasi-homogeneity of a superpotential in a complete free algebra over an algebraic closed field of characteristic zero. We prove that a superpotential with finite dimensional Jacobi algebra is right equivalent to a weighted homogeneous superpotential if and only if the corresponding class in the 0-th Hochschlid homology group of the Jacobi algebra is zero. This result can be viewed as a noncommutative version of the famous theorem of Kyoji Saito on isolated hypersurface singularities. |
| Persistent Identifier | http://hdl.handle.net/10722/269244 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Hua, Z | - |
| dc.contributor.author | Zhou, GS | - |
| dc.date.accessioned | 2019-04-17T04:44:56Z | - |
| dc.date.available | 2019-04-17T04:44:56Z | - |
| dc.date.issued | 2018 | - |
| dc.identifier.citation | Hua, Z & Zhou, GS. Quasi-homogeneity of superpotentials (2018). Retrieved from arXiv: https://arxiv.org/abs/1808.03754 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/269244 | - |
| dc.description.abstract | In this article, we study the quasi-homogeneity of a superpotential in a complete free algebra over an algebraic closed field of characteristic zero. We prove that a superpotential with finite dimensional Jacobi algebra is right equivalent to a weighted homogeneous superpotential if and only if the corresponding class in the 0-th Hochschlid homology group of the Jacobi algebra is zero. This result can be viewed as a noncommutative version of the famous theorem of Kyoji Saito on isolated hypersurface singularities. | - |
| dc.language | eng | - |
| dc.title | Quasi-homogeneity of superpotentials | - |
| dc.type | Others | - |
| dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
| dc.identifier.authority | Hua, Z=rp01790 | - |
| dc.identifier.hkuros | 289662 | - |