Semigroups in Algebra, Geometry and Analysis / / ed. by Ernest B. Vinberg, Jimmie D. Lawson, Karl H. Hofmann.

• Superior document: Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
• MitwirkendeR: Faraut, Jacques,; Gichev, Victor M.,; Guts, Alexander K.,; Hilgert, Joachim,; Hofmann, Karl H.,; Jurek, Zbigniew J.,; Lawson, Jimmie D.,; Levichev, Alexander V.,; Martin, Luiz B. San,; Mittenhuber, Dirk,; Neeb, Karl-Hermann,; Ruppert, Wolfgang A.F.,; Vinberg, Ernest B.,; Zelikin, Mikhail I.,; Ólafsson, Gestur,
• HerausgeberIn: Hofmann, Karl H.,; Lawson, Jimmie D.,; Vinberg, Ernest B.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1995
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: English
• Series: De Gruyter Expositions in Mathematics , 20
• Physical Description: 1 online resource (370 p.)

Table of Contents

• Frontmatter
• Preface
• Acknowledgements
• Table of Contents
• 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