The N-eigenvalue Problem and Two Applications
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- June 2005
- DOI:
- arXiv:
- arXiv:math/0506025
- Bibcode:
- 2005math......6025L
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Geometric Topology;
- 22E15;
- 22F36;
- 20F36
- E-Print:
- 30 pages. version 3: many typos fixed, section 6 substantially reorganized. To appear in Int. Math. Res. Not