自由正交矩阵的谱分析
Spectral analysis of the free orthogonal matrix
摘要：
计算了Wang代数$A_o(n)$的标准生成元$u_{ij}$的谱测度.我们特别表明，这一措施的支持$[-2/\sqrt{n+2},2/\sqrt{n+2}]$，它没有原子。计算是通过使用各种技术，涉及一般的王代数$A_o(F)$，表示$SU^q_2$由于Woronowicz，和几个计算与正交多项式。
英文摘要：
We compute the spectral measure of the standard generators $u_{ij}$ of the Wang algebra $A_o(n)$. We show in particular that this measure has support $[-2/\sqrt{n+2},2/\sqrt{n+2}]$, and that it has no atoms. The computation is done by using various techniques, involving the general Wang algebra $A_o(F)$, a representation of $SU^q_2$ due to Woronowicz, and several calculations with orthogonal polynomials.
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