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Cohomological splitting of coadjoint orbits

✍ Scribed by A. Viña


Publisher
Springer
Year
2004
Tongue
English
Weight
69 KB
Volume
82
Category
Article
ISSN
0003-889X

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The Fourier Transform of Semi-Simple Coa
✍ Paul-Emile Paradan 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 252 KB

Let M be a closed coadjoint orbit of a real, connected, semi-simple Lie group G, and let F M # C & (g) G be its Fourier transform. In this paper we compute the restriction of F M to the Lie algebra k of a maximal compact subgroup K of G. Using our technique of localization in equivariant cohomology