The N-eigenvalue Problem and Two Applications Institutional Repository Document uri icon

abstract

  • We consider the classification problem for compact Lie groups $Gsubset U(n)$ 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.

author list (cited authors)

  • Larsen, M., Rowell, E. C., & Wang, Z.

complete list of authors

  • Larsen, Michael||Rowell, Eric C||Wang, Zhenghan

publication date

  • June 2005