Given a finite group, we study the Gaussian series of the matrices in the image of its left regular representation. We propose such random matrices as a benchmark for improvements to the noncommutative Khintchine inequality, and we highlight an application to the matrix Spencer conjecture.

中文翻译：

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关于高斯凯莱矩阵的浓度


给定一个有限群，我们研究其左正则表示图像中的矩阵高斯级数。我们提出这样的随机矩阵作为改进非交换辛钦不等式的基准，并且我们重点介绍了矩阵斯宾塞猜想的应用。