Quasi-Pfaffians and applications
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915636597227520 |
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| author | Gilson, Claire Li, Shi-Hao Yu, Guo-Fu |
| author_facet | Gilson, Claire Li, Shi-Hao Yu, Guo-Fu |
| contents | This paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew-symmetric coefficients. A new non-commutative integrable system whose solutions are expressed in terms of these quasi-Pfaffians is presented. Derivative formulae and identities satisfied by these quasi-Pfaffians are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19857 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-Pfaffians and applications Gilson, Claire Li, Shi-Hao Yu, Guo-Fu Mathematical Physics This paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew-symmetric coefficients. A new non-commutative integrable system whose solutions are expressed in terms of these quasi-Pfaffians is presented. Derivative formulae and identities satisfied by these quasi-Pfaffians are presented. |
| title | Quasi-Pfaffians and applications |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2511.19857 |