Lecture Notes in Mathematics

Lie Semigroups and their Applications

Authors: Hilgert, Joachim, Neeb, Karl-Hermann

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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.

Table of contents (10 chapters)

  • Lie semigroups and their tangent wedges

    Hilgert, Joachim (et al.)

    Pages 1-46

  • Examples

    Hilgert, Joachim (et al.)

    Pages 47-79

  • Geometry and topology of Lie semigroups

    Hilgert, Joachim (et al.)

    Pages 80-112

  • Ordered homogeneous spaces

    Hilgert, Joachim (et al.)

    Pages 113-147

  • Applications of ordered spaces to Lie semigroups

    Hilgert, Joachim (et al.)

    Pages 148-161

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-540-69987-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-540-56954-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lie Semigroups and their Applications
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1552
Copyright
1993
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69987-3
DOI
10.1007/BFb0084640
Softcover ISBN
978-3-540-56954-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 316
Topics