Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601716 | Linear Algebra and its Applications | 2010 | 4 Pages |
Abstract
We prove that given four arbitrary quaternion numbers of norm 1 there always exists a 2×2 symplectic matrix for which those numbers are left eigenvalues. The proof is constructive. An application to the LS category of Lie groups is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory