The Hodge star operator on Schubert forms
| Autor: | Harry Tamvakis, Klaus Künnemann |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Mathematics - Differential Geometry
Hermitian symmetric space Pure mathematics Schubert forms 57T15 (primary) 05E15 14M15 32M10 (Secondary) Hodge theory Lie group Hermitian symmetric spaces Space (mathematics) Algebra Mathematics - Algebraic Geometry Differential Geometry (math.DG) Hodge star operator Homogeneous space FOS: Mathematics Hermitian manifold Geometry and Topology Hodge dual Harmonic differential Algebraic Geometry (math.AG) Mathematics |
| Zdroj: | Topology. 41:945-960 |
| ISSN: | 0040-9383 |
| DOI: | 10.1016/s0040-9383(01)00009-x |
| Popis: | 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. Comment: 15 pages, LaTeX, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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