The N-eigenvalue Problem and Two Applications
表示论
2007-05-23 v3 几何拓扑
摘要
We consider the classification problem for compact Lie groups which are generated by a single conjugacy class with a fixed number of distinct eigenvalues. We give an explicit classification when N=3, and apply this to extract information about Galois representations and braid group representations.
引用
@article{arxiv.math/0506025,
title = {The N-eigenvalue Problem and Two Applications},
author = {Michael Larsen and Eric C. Rowell and Zhenghan Wang},
journal= {arXiv preprint arXiv:math/0506025},
year = {2007}
}
备注
30 pages. version 3: many typos fixed, section 6 substantially reorganized. To appear in Int. Math. Res. Not