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Integrable systems on semidirect product Lie groups
(IOP Publishing, 2014-05)
We study integrable systems on the semidirect product of a Lie group and its Lie algebra as the representation space of the adjoint action. Regarding the tangent bundle of a Lie group as phase space endowed with this ...
Negative Ricci curvature on some non-solvable Lie groups II
(Springer, 2020-04)
We construct many examples of Lie groups admitting a left-invariant metric of negative Ricci curvature. We study Lie algebras which are semidirect products l= (a⊕ u) ⋉ n and we obtain examples where u is any semisimple ...
From almost (para)-complex structures to affine structures on Lie groups
(Springer, 2018-01)
Let G= H⋉ K denote a semidirect product Lie group with Lie algebra g= h⊕ k, where k is an ideal and h is a subalgebra of the same dimension as k. There exist some natural split isomorphisms S with S2= ± Id on g: given any ...
Negative Ricci curvature on some non-solvable Lie groups
(Springer, 2017-02)
We show that for any non-trivial representation (V, π) of u(2) with the center acting as multiples of the identity, the semidirect product u(2) ⋉ πV admits a metric with negative Ricci curvature that can be explicitly ...
Introdução à álgebra do espaço-tempo e à supersimetria
(Universidade Federal de São Paulo, 2022-11)
As simetrias desempenham um papel fundamental no desenvolvimento, análise e construção de teorias na Física. Dentro deste campo de pesquisa, podemos destacar o grupo de Lorentz L, que é a base fundamental da teoria da ...
Solutions curve for control systems on Lie groups
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2021)
Ação do produto coroa em sistemas de células idênticas acopladas
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2022)