Lie Semigroups and their Applications (Lecture Notes in Mathematics, 1552, Band 1552) - Softcover

Hilgert, Joachim

Softcover

ISBN 10: 3540569545 ISBN 13: 9783540569541

Verlag: Springer, 2009

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Joachim Hilgert is a retired professor of mathematics at the University of Paderborn.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 3540569545
• ISBN 13: 9783540569541
• Einband: Taschenbuch
• Anzahl der Seiten: 328
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