Viviana del Barco

Nilradicals of parabolic subalgebras admitting symplectic structures

In this paper we describe all the nilradicals of parabolic subalgebras of split real simple Lie algebras admitting symplectic structures. The main tools used to obtain this list are Kostants description of the highest weight vectors (hwv) of the cohomology of these nilradicals and some necessary conditions obtained for the

T-duality on nilmanifolds

\mathfrak g

On a spectral sequence for the cohomology of a nilpotent Lie algebra

-hwvs of

Lorentzian compact manifolds: Isometries and geodesics

H^2(\mathfrak n)

On generalized G2-structures and T-duality

for a finite dimensional real symplectic nilpotent Lie algebra

Isometric actions on pseudo-Riemannian nilmanifolds

\mathfrak n

Free nilpotent Lie algebras admitting ad-invariant metrics

with a reductive Lie subalgebra of derivations

Naturally reductive pseudo-Riemannian Lie groups in low dimensions

\mathfrak g

Symplectic Structures on Free Nilpotent Lie algebras

acting on it.

Lie algebras admitting symmetric, invariant and nondegenerate bilinear forms

A bstractWe study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called Infinitesimal T -duality. As an application we deal with the problem of finding symplectic structures on 2-step nilpotent Lie algebras. We also give a criteria for the integrability of the infinitesimal T-duality of Lie algebras to topological T-duality of the associated nilmanifolds.