| 書目名稱 | Lie Group Actions in Complex Analysis | | 編輯 | Dmitri N. Akhiezer | | 視頻video | http://file.papertrans.cn/586/585687/585687.mp4 | | 叢書名稱 | Aspects of Mathematics | | 圖書封面 |  | | 描述 | This book was planned as an introduction to a vast area, where many contri- butions have been made in recent years. The choice of material is based on my understanding of the role of Lie groups in complex analysis. On the one hand, they appear as the automorphism groups of certain complex spaces, e. g. , bounded domains in en or compact spaces, and are therefore important as being one of their invariants. On the other hand, complex Lie groups and, more generally, homoge- neous complex manifolds, serve as a proving ground, where it is often possible to accomplish a task and get an explicit answer. One good example of this kind is the theory of homogeneous vector bundles over flag manifolds. Another example is the way the global analytic properties of homogeneous manifolds are translated into algebraic language. It is my pleasant duty to thank A. L. Onishchik, who first introduced me to the theory of Lie groups more than 25 years ago. I am greatly indebted to him and to E. B. Vinberg forthe help and advice they have given me for years. I would like to express my gratitude to M. Brion, B. GilIigan, P. Heinzner, A. Hu- kleberry, and E. Oeljeklaus for valuable discussions of various sub | | 出版日期 | Book 1995 | | 關鍵詞 | Algebra; Automorphism groups; Compact homogeneous manifolds; Complex analysis; Function theory on homoge | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-322-80267-5 | | isbn_softcover | 978-3-322-80269-9 | | isbn_ebook | 978-3-322-80267-5Series ISSN 0179-2156 | | issn_series | 0179-2156 | | copyright | Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden 1995 |
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