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Symmetries in Complex Analysis.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2008Copyright date: ©2008Edition: 1st edDescription: 1 online resource (242 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821881477
Subject(s): Genre/Form: Additional physical formats: Print version:: Symmetries in Complex AnalysisDDC classification:
  • 515
LOC classification:
  • QA299.6 -- .W67 2005eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Reproducing kernels in representation theory -- Introduction -- 1. Classical Bergman, Hardy, and Fock spaces -- 2. Elementary geometric representation theory -- 3. Reproducing kernels on vector bundles -- 4. Applications -- 5. Outlook -- References -- Actions of complex Lie groups and the Borel-Weil correspondence -- 1. Lie group actions -- 2. Structure of Lie algebras and Lie groups -- 3. Homogeneous manifolds and representations -- References -- On complex automorphisms and holomorphic equivalence of domains -- Introduction -- 1. Bounded domains in Cn -- 2. Kobayashi hyperbolicity -- 3. Pseudoconvex domains -- 4. Completely circular domains -- Exceptional symmetric domains -- Introduction -- 1. Cayley algebras -- 2. Exceptional Jordan triple systems -- 3. The exceptional symmetric domains -- References -- Seiberg-Witten equations and pseudoholomorphic curves -- Index.
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Intro -- Contents -- Preface -- Reproducing kernels in representation theory -- Introduction -- 1. Classical Bergman, Hardy, and Fock spaces -- 2. Elementary geometric representation theory -- 3. Reproducing kernels on vector bundles -- 4. Applications -- 5. Outlook -- References -- Actions of complex Lie groups and the Borel-Weil correspondence -- 1. Lie group actions -- 2. Structure of Lie algebras and Lie groups -- 3. Homogeneous manifolds and representations -- References -- On complex automorphisms and holomorphic equivalence of domains -- Introduction -- 1. Bounded domains in Cn -- 2. Kobayashi hyperbolicity -- 3. Pseudoconvex domains -- 4. Completely circular domains -- Exceptional symmetric domains -- Introduction -- 1. Cayley algebras -- 2. Exceptional Jordan triple systems -- 3. The exceptional symmetric domains -- References -- Seiberg-Witten equations and pseudoholomorphic curves -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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