Littlewood's algorithm and quaternion matrices
Representation Theory
2007-09-18 v1
Abstract
A strengthened form of Schur's triangularization theorem is given for quaternion matrices with real spectrum (for complex matrices it was given by Littlewood). Littlewood's algorithm for reducing a complex matrix to a canonical form under unitary similarity is extended to quaternion matrices whose eigenvalues have geometric multiplicity 1.
Cite
@article{arxiv.0709.2466,
title = {Littlewood's algorithm and quaternion matrices},
author = {Dennis I. Merino and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:0709.2466},
year = {2007}
}
Comments
20 pages