30 citations · 115 across the 52 of their papers we have counts for
56 papers
Contact and 2-compatible Lie algebras
Elisabeth Remm
A -dimensional Lie algebra is called -compatible if it is isomorphic to a quadratic deformation of a Lie algebra . By quadratic deformation we means a…
Anti-commutative anti-associative algebras. Acaa-algebras
Elisabeth Remm
Let be a nonassociative algebra over a field of characteristic zero. The polarization process allows us to associate two other algebras, and this correspondence is one-one,…
Contact forms on SL(2p)
Elisabeth Remm
When p is greater than 1, any left invariant Pfaffian forms on the simple Lie group SL(2p) are not contact forms. In this paper, we give a contact form on this Lie group which is i…
Depolarization and distributive laws
Elisabeth Remm
Given a vector space with two multiplications, one commutative the other anticommutative, possibly connected by a distributive law, the depolarization principle allows to look at t…
Perturbations of polynomials and applications
Elisabeth Remm
After reconsidering the theorem of continuity of the roots of a polynomial in terms of its coefficients in the deformation framework, we study the stability of the greater common d…
Anti-associative algebras
Elisabeth Remm
An anti-associative algebra is a nonassociative algebra whose multiplication satisfies the identity a(bc)+(ab)c=0. Such algebras are nilpotent. We describe the free anti-associativ…