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The N-eigenvalue Problem and Two Applications

Michael Larsen·Eric C. Rowell·Zhenghan Wang
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Abstract

We consider the classification problem for compact Lie groups $G\subset U(n)$ which are generated by a single conjugacy class with a fixed number $N$ of distinct eigenvalues. We give an explicit classification when N=3, and apply this to extract information about Galois representations and braid group representations.

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BibTeXRIS

Michael Larsen, Eric C. Rowell, Zhenghan Wang. 2005-12-22. The N-eigenvalue Problem and Two Applications. https://doi.org/10.1155/imrn.2005.3987

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