A topological obstruction to existence of quaternionic Plucker map

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We prove the following statement motivated by the quaternionic linear algebra: there is no continuous map from the quaternionic Grassmannian to the quaternionic projective space such that the pull back of the first Pontryagin class of the tautological bundle over the projective space is equal to the first Pontryagin class of the tautological bundle over the Grassmannian.
7 pages, minor corrections

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Algebraic Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/121928

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111028
 http://arxiv.org/abs/math/0111028
 Geometric aspects of functional analysis, 1--7, Lecture Notes in Math., 1850, Springer, Berlin, 2004.

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arXiv