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Semigroups in Algebra, Geometry and Analysis.

By: Contributor(s): Material type: TextTextSeries: De Gruyter Expositions in Mathematics SeriesPublisher: Berlin/Boston : Walter de Gruyter GmbH, 1995Copyright date: ©1995Edition: 1st edDescription: 1 online resource (384 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110885583
Subject(s): Genre/Form: Additional physical formats: Print version:: Semigroups in Algebra, Geometry and AnalysisLOC classification:
  • QA182.S45
Online resources:
Contents:
Intro -- 1. Lie semigroups, ordered symmetric spaces and causality -- Causal semisimple symmetric spaces, the geometry and harmonic analysis -- The halfspace method for causal structures on homogeneous manifolds -- Semigroups in foundations of geometry and axiomatic theory of space-time -- On mathematical foundations and physical applications of chronometry -- 2. Invariant cones, Ol'shanskiĭ-semigroups, exponential semigroups -- On the structure of Lie algebras admitting an invariant cone -- Semigroups of Ol'shanskiĭ type -- Lie groups and exponential Lie subsemigroups -- 3. Convexity theorems, representation theory -- Symplectic convexity theorems, Lie semigroups, and unitary representations -- Holomorphic representations of Ol'shanskiĭ semigroups -- 4. Semisimple Lie groups and semigroups -- Control sets and semigroups in semisimple Lie groups -- The asymptotic semigroup of a semisimple Lie group -- 5. Applications: Control -- Applications of the maximum principle to problems in Lie semigroups -- Totally extremal manifolds for optimal control problems -- 6. Applications: Probability -- Lie semigroups and probability: a survey -- List of contributors.
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Intro -- 1. Lie semigroups, ordered symmetric spaces and causality -- Causal semisimple symmetric spaces, the geometry and harmonic analysis -- The halfspace method for causal structures on homogeneous manifolds -- Semigroups in foundations of geometry and axiomatic theory of space-time -- On mathematical foundations and physical applications of chronometry -- 2. Invariant cones, Ol'shanskiĭ-semigroups, exponential semigroups -- On the structure of Lie algebras admitting an invariant cone -- Semigroups of Ol'shanskiĭ type -- Lie groups and exponential Lie subsemigroups -- 3. Convexity theorems, representation theory -- Symplectic convexity theorems, Lie semigroups, and unitary representations -- Holomorphic representations of Ol'shanskiĭ semigroups -- 4. Semisimple Lie groups and semigroups -- Control sets and semigroups in semisimple Lie groups -- The asymptotic semigroup of a semisimple Lie group -- 5. Applications: Control -- Applications of the maximum principle to problems in Lie semigroups -- Totally extremal manifolds for optimal control problems -- 6. Applications: Probability -- Lie semigroups and probability: a survey -- List of contributors.

No detailed description available for "Semigroups in Algebra, Geometry and Analysis".

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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