Solvable Lie groups definable in o-minimal theories

2015/06/26 by Conversano, Annalisa, Onshuus, Alf, Starchenko, Sergei
#03C64 #22E15 #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.1506.08131

Abstract

In this paper we completely characterize solvable real Lie groups definable in o-minimal expansions of the real field.

Related

• Real Lie groups and o-minimality
• Continuous isomorphisms between groups definable in o-minimal expansions of the real field
• Solvable groups definable in o-minimal structures
• A definability criterion for connected Lie groups
• Groups definable in o-minimal structures: various properties and a diagram