作为矩阵联合谱的曲面与超曲面
算子代数
2019-11-06 v2
摘要
Clifford 谱是定义多个 Hermitian 算子联合谱的一种优雅方式。尽管已知即使在如三个 -by- 矩阵这样小的例子中,Clifford 谱也可以是二维流形,但鲜有具体例子被研究。我们的主要目标是生成三个或四个矩阵的 Clifford 谱的例子,在其中借助计算机代数包,我们能够计算 Clifford 谱。
关键词
引用
@article{arxiv.1911.00751,
title = {Surfaces and hypersurfaces as the joint spectrum of matrices},
author = {Patrick H. DeBonis and Terry A. Loring and Roman Sverdlov},
journal= {arXiv preprint arXiv:1911.00751},
year = {2019}
}
备注
The Mathematica and video ancillary files are available at https://math.unm.edu/~loring/CliffordExperiments/. They were larger than what is allowed by the arXiv for ancillary files. No changes to the manuscript except for a different description of the location of the supplementary files