Semi Simple Lie Groups
Mostrando 1-7 de 7 artigos, teses e dissertações.
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1. Metricas de Einstein e estruturas Hermitianas invariantes em variedades bandeira / Einstein metrics and invariant Hermitian structures on flag manifolds
In this work we and all the invariant Einstein metrics on four families of ag manifolds of type Bl and Cl. Our results are consistent with the finiteness conjecture of Einstein metrics proposed by Wang and Ziller. Our approach for solving the Einstein equations is based on the symmetries of the algebraic system. We obtain the Einstein algebraic systems for t
Publicado em: 2009
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2. Semigroups generated by cosets and characteristics functions of semigroups / Semigrupos gerados por classes laterais e funções caracteristicas de semigrupos
This work is made of two parts. In the first one, we gave necessary and sufficient conditions for a family of cosets of a Lie subgroup to generate a subsemigroup with nonempty interior. We apply these conditions to symmetric pairs where the group is semi-simple. As a consequence we prove that for several involutive automorphisms the fixed points subgroup is
Publicado em: 2007
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3. Control sets on orbits and ordered compactification of semigroups / Conjuntos de controle em orbitas adjuntas e compactificações ordenadas de semigrupos
In this work we study two distinct problems: semigroup actions on adjoint orbits and compacti?cation of semigroups. For the study of the semigroup actions, we consider a semi-simple connected noncompact Lie group G and the adjoint orbit through elements in a maximal abelian subalgebra contained in the complement of a maximal compactly embedded subalgebra of
Publicado em: 2007
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4. Semigroups and control in semi-simple grups over local fields / Semigrupos e controle em grupos semisimples sobre corpos locais
Let G be a almost-simple, simply connected and connected Lie group over a local field and S a subsemigroup with non-empty interior. Studying the action of the regular hyperbolic elements in the interior of S on the flag manifold G / P and on the associated euclidean building, we prove the existence and uniqueness of the invariant control set. Moreover we pro
Publicado em: 2006
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5. Metricas de Einstein em variedades bandeira / Einstein metrics on flag manifolds
The goal of this work is to contribute the study of invariant Hermitian geometry on flag manifolds. We study the class of Einstein metrics on flag manifolds. In this work we present new solutions for the invariant Einstein equation on flag manifolds, maximals or not, of Ai case. Let W a subgroup of the Weyl group. We described a natural action of W on the so
Publicado em: 2005
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6. Estruturas quase hermitianas invariantes e ideais abelianos
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 a maximal torus of U. We study U -invariant almost Hermitian structures on F. The (1, 2)-symplectic (or quasi-Kähler) structures are naturally related to the affine Weyl groups. A special form f
Publicado em: 2003
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7. Maximal Sub-algebras of Semi-simple Lie Algebras, Symmetry Breaking and the Genetic Code / Subalgebras maximais das álgebras de Lie semisimples, quebra de simetria e o código genético
O propósito deste trabalho é dar uma contribuição ao projeto iniciado por Hornos &Hornos que visa explicar as degenerescências do código genético como resultado de sucessivas quebras de simetria ocorridas durante sua evolução. O modelo matemático usado requer a construção de todas as representações irredutíveis de dimensão 64 das álgebras de
Publicado em: 1998