| 书目名称 | Cycle Spaces of Flag Domains | | 副标题 | A Complex Geometric | | 编辑 | Gregor Fels,Alan Huckleberry,Joseph A. Wolf | | 视频video | | | 概述 | Driven by numerous examples from the complex geometric viewpoint.New results presented for the first time.Widely accessible, with all necessary background material provided for the nonspecialist.Compa | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | This research monograph is a systematic exposition of the background, methods, and recent results in the theory of cycle spaces of ?ag domains. Some of the methods are now standard, but many are new. The exposition is carried out from the viewpoint of complex algebraic and differential geometry. Except for certain foundational material,whichisreadilyavailablefromstandardtexts,itisessentiallyself-contained; at points where this is not the case we give extensive references. After developing the background material on complex ?ag manifolds and rep- sentationtheory, wegiveanexposition(withanumberofnewresults)ofthecomplex geometric methods that lead to our characterizations of (group theoretically de?ned) cyclespacesandtoanumberofconsequences. Thenwegiveabriefindicationofjust how those results are related to the representation theory of semisimple Lie groups through, for example, the theory of double ?bration transforms, and we indicate the connection to the variation of Hodge structure. Finally, we work out detailed local descriptions of the relevant full Barlet cycle spaces. Cycle space theory is a basic chapter in complex analysis. Since the 1960s its importance has been underlined b | | 出版日期 | Book 2006 | | 关键词 | Complex analysis; Representation theory; differential geometry; harmonic analysis; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/0-8176-4479-2 | | isbn_ebook | 978-0-8176-4479-6Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Boston 2006 |
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发表于 2025-3-21 18:20:19
