3 citations · 4 across the 3 of their papers we have counts for
7 papers
Real Lie groups and o-minimality
Annalisa Conversano, Alf Onshuus, Sacha Post
We characterize, up to Lie isomorphism, the real Lie groups that are definable in an o-minimal expansion of the real field.
Groups definable in o-minimal structures: various properties and a diagram
Annalisa Conversano
We present a diagram surveying equivalence or strict implication for properties of different nature (algebraic, model theoretic, topological, etc.) about groups definable in o-mini…
One Lie group to define them all
Annalisa Conversano, Marcello Mamino
We produce a connected real Lie group that, as a first order structure in the group language, interprets the real field expanded with a predicate for the integers. Moreover, the do…
Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups
Annalisa Conversano
We establish a surprising correspondence between groups definable in o-minimal structures and linear algebraic groups, in the nilpotent case. It turns out that in the o-minimal con…
Solvable Lie groups definable in o-minimal theories
Annalisa Conversano, Alf Onshuus, Sergei Starchenko
In this paper we completely characterize solvable real Lie groups definable in o-minimal expansions of the real field.
Connected components of definable groups, and o-minimality II
Annalisa Conversano, Anand Pillay
We study the connected components G^00, G^000 and their quotients for a group G definable in a saturated o-minimal expansion of a real closed field. We show that G^00/G^000 is natu…