论文标题
与Butson-Hadamard矩阵相关的单一矩阵
Unitary matrices associated with Butson-Hadamard matrices
论文作者
论文摘要
我们举例说明BH（5; 5）矩阵m满足了单一矩阵的特征值$ \ frac {1} {\ sqrt5} m $都是原始的10-统一根，因此$ \ frac {1} {1} {1} m^3 $不是一个bh（5）bh（5）bh（5）。这个例子对R. Egan和P. O. Cathain提出的猜想给出了负面答案。
We give an example of a BH(5; 5) matrix M satisfying that the eigenvalues of the unitary matrix $\frac{1}{\sqrt5}M$ are all primitive 10-th roots of unity and such that $\frac{1}{5}M^3$ is not a BH(5; 5) matrix. This example gives a negative answer to a conjecture proposed by R. Egan and P. O. Cathain.
