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arXiv math/0506025math.RTmath.GT
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The N-eigenvalue Problem and Two Applications

Michael Larsen, Eric C. Rowell, Zhenghan Wang

英文摘要:

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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