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Lie Semigroups and their Applications

  • Book
  • © 1993

Overview

Authors:
  1. Joachim Hilgert
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    You can also search for this author in PubMed   Google Scholar

  2. Karl-Hermann Neeb
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1552)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xii
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  2. Lie semigroups and their tangent wedges

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 1-46

  3. Examples

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 47-79

  4. Geometry and topology of Lie semigroups

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 80-112

  5. Ordered homogeneous spaces

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 113-147

  6. Applications of ordered spaces to Lie semigroups

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 148-161

  7. Maximal semigroups in groups with cocompact radical

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 162-176

  8. Invariant Cones and Ol'shanskii semigroups

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 177-201

  9. Compression semigroups

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 202-253

  10. Representation theory

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 254-296

  11. The theory for Sl(2)

    • Joachim Hilgert, Karl-Hermann Neeb
    Pages 297-302

  12. Back Matter

    Pages 303-315
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Keywords

About this book

Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related topics. These include ordered homogeneous manifolds, where the order is defined by a field of cones, invariant cones in Lie algebras and associated Ol'shanskii semigroups. Applications to representation theory, symplectic geometry and Hardy spaces are also given. The book is written as an efficient guide for those interested in subsemigroups of Lie groups and their applications in various fields of mathematics (see the User's guide at the end of the Introduction). Since it is essentially self-contained and leads directly to the core of the theory, the first part of the book can also serve as an introduction to the subject. The reader is merely expected to be familiar with the basic theory of Lie groups and Lie algebras.

Bibliographic Information

  • Book Title: Lie Semigroups and their Applications

  • Authors: Joachim Hilgert, Karl-Hermann Neeb

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084640

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1993

  • Softcover ISBN: 978-3-540-56954-1Published: 29 September 1993

  • eBook ISBN: 978-3-540-69987-3Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 316

  • Topics: Topological Groups, Lie Groups

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