The N-eigenvalue Problem and Two Applications

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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.
30 pages. version 3: many typos fixed, section 6 substantially reorganized. To appear in Int. Math. Res. Not

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Representation Theory, Geometric Topology, 22E15; 22F36; 20F36

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http://salesiana.dossiersoluciones.com/handle/123456789/101325

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506025
 http://arxiv.org/abs/math/0506025
 Int. Math. Res. Not. 2005:64 (2005) 3987-4018
 doi:10.1155/IMRN.2005.3987

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arXiv