4 citations · 6 across the 5 of their papers we have counts for
8 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…
A class of nonassociative algebras and cogebras
Michel Goze
We present classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3 order symmetric group. Amongst these algebras we find th…
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…
Symplectic or contact structures on Lie Groups
Y. Khakimdjanov, M. Goze, A. Medina
We study left invariant contact forms and left invariant symplectic forms on Lie groups. We give the classification of all symplectic structures on nilpotent Lie algebras up the di…
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…