The Hodge star operator on Schubert forms

Zusammenfassung

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. (C) 2002 Elsevier Science Ltd. All rights reserved.