Kählerian oxidation and reduction of Lie algebras with Kähler structures

Mustapha Bachaou, Ignacio Bajo, Mohamed Louzari

A Kähler structure on a real Lie algebra $\mathfrak{g}$ is a pair $(\omega ,J)$ of a 2-cocycle and a complex structure on $\mathfrak{g}$ which are compatible in the sense that $J$ is sk…