Geometry of Four-vector Fields on Quaternionic Flag Manifolds
classification
🧮 math.DG
math.SG
keywords
decompositionfieldsflaggroupmanifoldsquaternionicactionbruhat
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.