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A chiral Borel–Weil–Bott theorem

✍ Scribed by Tomoyuki Arakawa; Fyodor Malikov


Book ID
113421854
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
346 KB
Volume
229
Category
Article
ISSN
0001-8708

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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