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A Borel–Weil–Bott type theorem for group completions

✍ Scribed by Syu Kato


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
119 KB
Volume
259
Category
Article
ISSN
0021-8693

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A Holomorphic Version of Borel–Weil–Bott
✍ Simon G Gindikin; Hon-Wai Wong 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 436 KB

A new geometric realization is obtained for finite dimensional representations of a complex reductive group. The representations are realized as holomorphic objects on a homogeneous Stein manifold. Fundamental to the construction is a holomorphic version of a Hodge decomposition. In certain importan