Generating varieties for affine Grassmannians

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We study the topological group structure (coming from loop multiplication) on an affine Grassmannian. In particular, we study finite-dimensional subvarieties that generate the homology ring. We show that there is a canonical family of generating Schubert varieties, namely those defined by the negative of the coroot associated to the highest root. These not only generate the homology, but generate the affine Grassmannian itself in a precise sense.

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Algebraic Topology, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/171872

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.3266
 http://arxiv.org/abs/0810.3266

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arXiv