The Hodge star operator on Schubert forms

Klaus Kuennemann; Harry Tamvakis

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The Hodge star operator on Schubert forms

Klaus Kuennemann·Harry Tamvakis

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Abstract

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.

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BibTeX RIS

Klaus Kuennemann, Harry Tamvakis. 2003-06-29. The Hodge star operator on Schubert forms. https://arxiv.org/abs/math/0306412

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