Symplectic matrices with predetermined left eigenvalues
Rings and Algebras
2009-07-10 v1 Algebraic Topology
Abstract
We prove that given four arbitrary quaternion numbers of norm 1 there always exists a symplectic matrix for which those numbers are left eigenvalues. The proof is constructive. An application to the LS category of Lie groups is given.
Cite
@article{arxiv.0907.1529,
title = {Symplectic matrices with predetermined left eigenvalues},
author = {E. Macías-Virgós and M. J. Pereira-Sáez},
journal= {arXiv preprint arXiv:0907.1529},
year = {2009}
}
Comments
7 pages