The Hodge star operator on Schubert forms
Algebraic Geometry
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0306412,
title = {The Hodge star operator on Schubert forms},
author = {Klaus Kuennemann and Harry Tamvakis},
journal= {arXiv preprint arXiv:math/0306412},
year = {2007}
}
Comments
15 pages, LaTeX, 4 figures