Search Results - "Martin, Luiz A. B. San"
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The Katzarkov–Kontsevich–Pantev conjecture for minimal adjoint orbits
Published in European journal of mathematics (01-09-2023)“…We consider minimal semisimple adjoint orbits as Landau–Ginzburg models and prove that they satisfy the conjecture of Katzarkov–Kontsevich–Pantev about new…”
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Differentiability of Lyapunov Exponents
Published in Journal of dynamical and control systems (01-04-2020)“…We prove differentiability of certain linear combinations of the Lyapunov spectra of a flow on a principal bundle of a semi-simple Lie group. The specific…”
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3
Infinitesimally tight Lagrangian orbits
Published in Mathematische Zeitschrift (01-04-2021)“…We describe isotropic orbits for the restricted action of a subgroup of a Lie group acting on a symplectic manifold by Hamiltonian symplectomorphisms and…”
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Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds
Published in Annals of global analysis and geometry (01-06-2011)“…In this article, we study variational aspects for a special class of holomorphic maps on flag manifolds. We prove stability and non-stability results for such…”
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Mid-reversibility properties of semigroup actions on homogeneous spaces
Published in Semigroup forum (01-06-2022)“…In this paper we study mid-reversibility of subsemigroups acting on homogeneous spaces. The mid-reversor set of a subsemigroup is defined and it is described…”
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A method to find generators of a semi-simple Lie group via the topology of its flag manifolds
Published in Semigroup forum (01-10-2017)“…In this paper we continue to develop the topological method to get semigroup generators of semi-simple Lie groups. Consider a subset Γ ⊂ G that contains a…”
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Invariant almost complex structures on real flag manifolds
Published in Annali di matematica pura ed applicata (01-12-2018)“…In this work, we study the existence of invariant almost complex structures on real flag manifolds associated to split real forms of complex simple Lie…”
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Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds
Published in Annali di matematica pura ed applicata (2014)“…In this paper, we derive Plücker formulae for holomorphic maps into the maximal flag manifolds of the complex semi-simple Lie groups. Holomorphy is taken with…”
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Controllability of control systems on complex simple lie groups and the topology of flag manifolds
Published in Journal of dynamical and control systems (01-04-2013)“…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 (α) ≈ Sl (2, )…”
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Deformations of Adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds
Published 29-07-2020“…Differential Geometry and its Applications, Vol 75, April 2021 We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and…”
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Maximal semigroups in semi-simple Lie groups
Published in Transactions of the American Mathematical Society (01-12-2001)“…The maximal semigroups with nonempty interior in a semi-simple Lie group with finite center are characterized as compression semigroups of subsets in the flag…”
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12
Invariant nearly-Kähler structures
Published in Geometriae dedicata (01-08-2006)Get full text
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Invariant Generalized Complex Structures on Flag Manifolds
Published 05-09-2019“…Let $G$ be a complex semi-simple Lie group and form its maximal flag manifold $\mathbb{F}=G/P=U/T$ where $P$ is a minimal parabolic subgroup, $U$ a compact…”
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14
A Lie theoretical construction of a Landau-Ginzburg model without projective mirrors
Published 19-05-2018“…Manuscripta Math. 158 (1-2), 85-101 (2019) We describe the Fukaya-Seidel category of a Landau-Ginzburg model LG(2) for the semisimple adjoint orbit of sl(2,C)…”
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15
Symmetric spaces as adjoint orbits and their geometries
Published in Revista matemática complutense (01-09-2024)“…We realize specific classical symmetric spaces, like the semi-Kähler symmetric spaces discovered by Berger, as cotangent bundles of symmetric flag manifolds…”
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Controllability and semigroups of invariant control systems on $${\mathrm {Sl}}\left( n,{\mathbb {H}}\right)
Published in Mathematics of control, signals, and systems (01-06-2022)Get full text
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Invariant generalized complex structures on flag manifolds
Published in Journal of geometry and physics (01-04-2020)“…Let G be a complex semi-simple Lie group and form its maximal flag manifold F=G∕P=U∕T where P is a minimal parabolic subgroup, U a compact real form and T=U∩P…”
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18
Deformations of adjoint orbits for semisimple Lie algebras and Lagrangian submanifolds
Published in Differential geometry and its applications (01-04-2021)“…We give a coadjoint orbit's diffeomorphic deformation between the classical semisimple case and the semi-direct product given by a Cartan decomposition. The…”
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Controllability and semigroups of invariant control systems on Sln,H
Published in Mathematics of control, signals, and systems (01-06-2022)“…Let Sl n , H be the Lie group of n × n quaternionic matrices g with det g = 1 . We prove that a subsemigroup S ⊂ Sl n , H with nonempty interior is equal to Sl…”
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(1, 2)-SYMPLECTIC METRICS, FLAG MANIFOLDS AND TOURNAMENTS
Published in The Bulletin of the London Mathematical Society (01-11-2002)“…It has recently been shown by Mo and Negreiros that a necessary condition for an invariant almost complex structure on the complex full flag manifold ${\bb…”
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