Lie Semigroups and their Applications

  • Authors
  • JoachimĀ Hilgert
  • Karl-HermannĀ Neeb
Part of the Lecture Notes in Mathematics book series (LNM, volume 1552)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Joachim Hilgert, Karl-Hermann Neeb
    Pages 1-46
  3. Joachim Hilgert, Karl-Hermann Neeb
    Pages 47-79
  4. Joachim Hilgert, Karl-Hermann Neeb
    Pages 80-112
  5. Joachim Hilgert, Karl-Hermann Neeb
    Pages 113-147
  6. Joachim Hilgert, Karl-Hermann Neeb
    Pages 148-161
  7. Joachim Hilgert, Karl-Hermann Neeb
    Pages 162-176
  8. Joachim Hilgert, Karl-Hermann Neeb
    Pages 177-201
  9. Joachim Hilgert, Karl-Hermann Neeb
    Pages 202-253
  10. Joachim Hilgert, Karl-Hermann Neeb
    Pages 254-296
  11. Joachim Hilgert, Karl-Hermann Neeb
    Pages 297-302
  12. Back Matter
    Pages 303-315

About this book

Introduction

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.

Keywords

Holomorphic extension Semigroup algebra invariant cone lie group

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084640
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56954-1
  • Online ISBN 978-3-540-69987-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692