The Hodge star operator on Schubert forms

Details The Hodge star operator on Schubert forms The Hodge star operator on Schubert forms

2003-06-29

arxiv.org/abs/math/0306412v1

Topology 41 (2002), 945-960

Mathematics

Algebraic Geometry

15 pages, LaTeX, 4 figures

Scientific paper

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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