R. Carles

collaborators

2 papers

math.RA2010

Versal Deformations and Versality in Central Extensions of Jacobi's Schemes

Roger Carles, Toukaiddine Petit

Let $Ł_{m}$ be the scheme of the laws defined by the Jacobi's identities on $\K^m$ with $\K$ a field. A deformation of $\g\inŁ_m$, parametrized by a local $\K$-algebra $\A$, is a loc…

math.AG2007

Deformations of Lie algebras and Induction of Schemes

Roger Carles, Toukaiddine Petit

Let $Ł_{m}$ be the scheme of the laws defined by the identities of Jacobi on $\K^m$. The local studies of an algebraic Lie algebra $\g=\mathrm{R}\ltimes\n$ in $Ł_{m}$ and its nilpotent…