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|Type:||Artigo de periódico|
|Title:||Controllability of control systems on complex simple lie groups and the topology of flag manifolds|
|Author:||dos Santos, AL|
San Martin, LAB
|Abstract:||Let S be a subsemigroup with nonempty interior of a connected complex simple Lie group G. It is proved that S = G if S contains a subgroup G(alpha) a parts per thousand Sl (2, ) generated by the exp , where is the root space of the root alpha. The proof uses the fact, proved before, that the invariant control set of S is contractible in some flag manifold if S is proper, and exploits the fact that several orbits of G(alpha) are 2-spheres not null homotopic. The result is applied to revisit a controllability theorem and get some improvements.|
simple Lie groups
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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