有限集上酉到双随机阵及符号的映射
A mapping from the unitary to doubly stochastic matrices and symbols on a finite set
摘要：
证明了从酉矩阵到双随机阵的映射是酉矩阵（u_{kl}）到双随机阵（|u_{kl}|（^2）是几乎所有酉矩阵的浸没。证明使用了有限集上的算子符号的框架。我们给出了详细的证明结果宣布在我们以前的预印本。
英文摘要：
We prove that the mapping from the unitary to the doubly stochastic matrices that maps a unitary matrix (u_{kl}) to the doubly stochastic matrix (|u_{kl}|^2) is a submersion for almost all unitary matrices. The proof uses the framework of operator symbols on a finite set. We give detailed proofs of the results announced in our earlier preprint.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
