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Catalogue Information
Field name	Details
Dewey Class	512.55
Dewey Class	512.482
Title	Lie Semigroups and their Applications ([EBook] /) / by Joachim Hilgert, Karl-Hermann Neeb.
Author	Hilgert, Joachim
Added Personal Name	Neeb, Karl-Hermann author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1993.
Physical Details	XII, 316 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1552
ISBN	9783540699873
Summary Note	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.:
Contents note	Lie semigroups and their tangent wedges -- Examples -- Geometry and topology of Lie semigroups -- Ordered homogeneous spaces -- Applications of ordered spaces to Lie semigroups -- Maximal semigroups in groups with cocompact radical -- Invariant Cones and Ol'shanskii semigroups -- Compression semigroups -- Representation theory -- The theory for Sl(2).
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0084640
Links to Related Works	Subject References: Lie groups . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Hilgert, Joachim . Neeb, Karl-Hermann . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.482 . 512.55 .

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Lie Semigroups and their Applications

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