The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...

Se presenta un recuento histórico de comportamientos asintóticos de tipo-Weyl para dominios exteriores

The goal of this work is describe the nite dimensional representationsof semisimple Lie algebras g over C, where g also has finite dimension. Initially, is necessary the study of Cartan subalgebras, together of root systems, ...

In chapter one, we introduce the notion of infinitesimal deformation and infinitesimal rigidity of a regular surface in R 3 and using the integral formula of Blaschke, equation (1.9), we demonstrate the infinitesimal ...

We derive an expression for conserved charges in Lovelock anti-de Sitter gravity for solutions having k-fold degenerate vacua, making manifest a link between the degeneracy of a given vacuum and the nonlinearity of the ...

Um problema clássico em geometria é classificar variedades compactas tanto do ponto de vista topológico quanto do ponto de vista geométrico. Sabemos que a curvatura (sob as formas mais variadas) pode determinar a topologia ...

We study the parabolic Kazhdan-Lusztig polynomials for the quasi-minuscule quotients of Weyl groups. We give explicit closed combinatorial formulas for the parabolic Kazhdan-Lusztig polynomials of type q. Our study implies ...