Geometry of Four-vector Fields on Quaternionic Flag Manifolds

Details Geometry of Four-vector Fields on Quaternionic Flag Manifolds Geometry of Four-vector Fields on Quaternionic Flag Manifolds

2001-04-09

arxiv.org/abs/math/0104104v3

Mathematics

Differential Geometry

13 pages

Scientific paper

The purpose of this paper is to describe certain natural 4-vector fields on
quaternionic flag manifolds, which geometrically determine the Bruhat cell
decomposition. This structure naturally descends from the symplectic group,
where it is related to the dressing action given by the Iwasawa decomposition
of the general linear group over the quaternions.

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