Geometry of Four-vector Fields on Quaternionic Flag Manifolds

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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.
13 pages

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Differential Geometry, Symplectic Geometry, 58F05, 57R25, 22E30

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http://salesiana.dossiersoluciones.com/handle/123456789/61273

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104104
 http://arxiv.org/abs/math/0104104

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arXiv