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International Mathematics Research Notices (2005) 2005:3987-4018 , doi:10.1155/IMRN.2005.3987
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Copyright © 2005 Hindawi Publishing Corporation. All rights reserved.

The N-eigenvalue problem and two applications

Michael J. Larsen, Eric C. Rowell and Zhenghan Wang

We consider the classification problem for compact Lie groups G sub 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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