The Hodge star operator on Schubert forms

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Let X=G/P be a homogeneous space of a complex semisimple Lie group G equipped with a hermitian metric. We study the action of the Hodge star operator on the space of harmonic differential forms on X. We obtain explicit combinatorial formulas for this action when X is an irreducible hermitian symmetric space of compact type.
15 pages, LaTeX, 4 figures

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Algebraic Geometry, Differential Geometry, 57T15 (primary) 05E15, 14M15, 32M10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67915

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306412
 http://arxiv.org/abs/math/0306412
 Topology 41 (2002), 945-960

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arXiv