Semigroups in Algebra, Geometry and Analysis
1st Edition
Published on 24. June 2011
XII, 370 pages
978-3-11-088558-3 (ISBN)
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Karl H. Hofmann | Jimmie D. Lawson | Ernest B. Vinberg
Semigroups in Algebra, Geometry and Analysis
Book
07/1995
1st Edition
De Gruyter
€179.95
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Karl H. Hofmann | Jimmie D. Lawson | Ernest B. Vinberg
Semigroups in Algebra, Geometry and Analysis
Book
01/1995
1st Edition
De Gruyter
€259.00
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Content
- 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'shanskii-semigroups, exponential semigroups
- On the structure of Lie algebras admitting an invariant cone
- Semigroups of Ol'shanskii type
- Lie groups and exponential Lie subsemigroups
- 3. Convexity theorems, representation theory
- Symplectic convexity theorems, Lie semigroups, and unitary representations
- Holomorphic representations of Ol'shanskii 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
