4 citations · 4 across the 4 of their papers we have counts for
8 papers · 1 filter
Cogebres Lie-admissibles - Lie-admissible coalgebras
Michel Goze, Elisabeth Remm
We present coalgebras of some classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3-order symmetric group. Amongst these…
Valued Deformations of Algebras
Michel Goze, Elisabeth Remm
We develop the notion of deformations using a valuation ring as ring of coefficients. This permits to consider in particular the classical Gerstenhaber deformations of associative…
Lie-admissible algebras and operads
Michel Goze, Elisabeth Remm
A Lie-admissible algebra gives by anticommutativity a Lie algebra. In this work we study remarkable classes of Lie-admissible algebras such as Vinberg, PreLie algebras. We compute…
Affine structures on nilpotent contact Lie algebras
Elisabeth Remm
In this paper we study some affine structures on nilpotent Lie algebras endowed with a contact form. These affine structures are constructed from an affine structure on a symplecti…
Affine structures on filiform Lie algebras
Elisabeth Remm
In this note we prove that every non characteristically filiform Lie algebra is endowed with an affine structure.
Affine Structures on abelian Lie Groups
Elisabeth Remm, Michel Goze
The complete affine structures on abelian Lie algebras in small dimensions are well known. In this paper we are interested by the non complete case. In particular we classify all t…