# HARMONIC TWO-SPHERES IN THE SYMPLECTIC GROUP Sp(n)

@article{Pacheco2006HARMONICTI,
title={HARMONIC TWO-SPHERES IN THE SYMPLECTIC GROUP Sp(n)},
author={Rui Pacheco},
journal={International Journal of Mathematics},
year={2006},
volume={17},
pages={295-311}
}
• R. Pacheco
• Published 1 March 2006
• Mathematics
• International Journal of Mathematics
We shall exploit the Grassmannian theoretic point of view introduced by Segal in order to study harmonic maps from a two-sphere into the symplectic group Sp(n). By using this methodology, we shall be able to deduce an "uniton factorization" of such maps and an alternative characterization of harmonic two-spheres in the quaternionic projective space ℍPn.
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