Quantum super Manin matrices
Quantum Algebra
2025-10-07 v1
Abstract
Manin matrices are quantum linear transformations of general quantum spaces. In this paper, we study the -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.
Keywords
Cite
@article{arxiv.2510.04119,
title = {Quantum super Manin matrices},
author = {Naihuan Jing and Yinlong Liu and Jian Zhang},
journal= {arXiv preprint arXiv:2510.04119},
year = {2025}
}