Quantum super Manin matrices
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909825562050560 |
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| author | Jing, Naihuan Liu, Yinlong Zhang, Jian |
| author_facet | Jing, Naihuan Liu, Yinlong Zhang, Jian |
| contents | Manin matrices are quantum linear transformations of general quantum spaces. In this paper, we study the $q$-analogue of super Manin matrices and obtain several quantum versions of classical identities, such as Jacobi's ratio theorem, Schur's complement theorem, Cayley's complementary theorem, Muir's law, Sylvester's theorem, MacMahon Master Theorem and Newton's identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum super Manin matrices Jing, Naihuan Liu, Yinlong Zhang, Jian Quantum Algebra Manin matrices are quantum linear transformations of general quantum spaces. In this paper, we study the $q$-analogue of super Manin matrices and obtain several quantum versions of classical identities, such as Jacobi's ratio theorem, Schur's complement theorem, Cayley's complementary theorem, Muir's law, Sylvester's theorem, MacMahon Master Theorem and Newton's identities. |
| title | Quantum super Manin matrices |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2510.04119 |