Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Conversano, Annalisa"'
Autor:
Conversano, Annalisa
We show that every definable group G in an o-minimal structure is definably finitely generated. That is, G contains a finite subset that is not included in any proper definable subgroup. This provides another proof, and a generalization to o-minimal
Externí odkaz:
http://arxiv.org/abs/2307.12474
Autor:
Conversano, Annalisa, Monod, Nicolas
Publikováno v:
Journal of Algebra 640 (2024) 106-116
Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we solve the problem for all solvable Lie groups and more generally Lie gr
Externí odkaz:
http://arxiv.org/abs/2305.06498
Autor:
Conversano, Annalisa
We prove a decomposition of definable groups in o-minimal structures generalizing the Jordan-Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G is a semidirect product of its maximal normal definable tors
Externí odkaz:
http://arxiv.org/abs/2203.02637
Autor:
Conversano, Annalisa, Monod, Nicolas
Publikováno v:
In Journal of Algebra 15 February 2024 640:106-116
We characterize, up to Lie isomorphism, the real Lie groups that are definable in an o-minimal expansion of the real field.
Externí odkaz:
http://arxiv.org/abs/2104.01484
Autor:
Conversano, Annalisa
We present a diagram surveying equivalence or strict implication for properties of different nature (algebraic, model theoretic, topological, etc.) about groups definable in o-minimal structures. All results are well-known and an extensive bibliograp
Externí odkaz:
http://arxiv.org/abs/2010.12782
Autor:
Conversano, Annalisa, Mamino, Marcello
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 domain of our interpretation is definable in the group.
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Externí odkaz:
http://arxiv.org/abs/2010.10579
Autor:
Conversano, Annalisa
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 context, like for finite groups, nilpotency is equivalent to the normaliz
Externí odkaz:
http://arxiv.org/abs/1904.09738
Autor:
Conversano, Annalisa
Publikováno v:
In Journal of Algebra 1 December 2021 587:295-309
In this paper we completely characterize solvable real Lie groups definable in o-minimal expansions of the real field.
Externí odkaz:
http://arxiv.org/abs/1506.08131