A Holomorphic Version of Borel–Weil–Bott
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Simon G Gindikin; Hon-Wai Wong
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Article
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1997
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Elsevier Science
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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