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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.
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.
| Erscheinungsjahr: | 1993 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Lecture Notes in Mathematics |
| Inhalt: |
xii
316 S. |
| ISBN-13: | 9783540569541 |
| ISBN-10: | 3540569545 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Hilgert, Joachim
Neeb, Karl-Hermann |
| Hersteller: |
Springer
Springer Vieweg Springer-Verlag GmbH Lecture Notes in Mathematics |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 18 mm |
| Von/Mit: | Joachim Hilgert (u. a.) |
| Erscheinungsdatum: | 29.09.1993 |
| Gewicht: | 0,499 kg |
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