4 citations · 4 across the 4 of their papers we have counts for
9 papers
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…
Algebras with one operation including Poisson and other Lie-admissible algebras
Martin Markl, Elisabeth Remm
We investigate algebras with one operation. We study when these algebras form a monoidal category and analyze Koszulness and cyclicity of the corresponding operads. We also introdu…
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.