4 citations · 6 across the 5 of their papers we have counts for
7 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…
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…
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…
Non-Existence of Complex Structures on Filiform Lie Algebras
M. Goze, E. Remm
The aim of this work is to prove the nonexistence of complex structures over nilpotent Lie algebras of maximal class (also called filiform).