Semigroups in the simply connected covering of \(SL(2)\)

DOI10.1007/BF02573580zbMath0776.22001MaRDI QIDQ1207709

Dirk Mittenhuber

Publication date: 16 May 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135244

zbMATH Keywords

exponential functioncontrollabilitygeodesicsLie algebraadjoint actionone-parameter semigroupsreachable setsLie semigroupsleft-invariant Lorentzian metric\(\text{Sl}(2,\mathbb{R})\)Lorentzian conesPontrjagin Maximum Principlesimply connected covering groupsmooth causal loops

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Attainable sets, reachability (93B03) Structure of topological semigroups (22A15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

The classification of global Lie wedges in \({\mathfrak {sl}} (2)\) ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces.

Cites Work

• Old and new on Sl(2)
• Controllability on real reductive Lie groups
• Semigroups in the universal covering group of \(SL(2)\)

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