Elisabeth Remm

activity

20242026

collaborators

4 papers

math.RA2026

Contact and 2-compatible Lie algebras

Elisabeth Remm

A $n$ -dimensional Lie algebra $g = (V, I^¼)$ is called $2$ -compatible if it is isomorphic to a quadratic deformation of a Lie algebra $g_{0} = (V, I^¼_{0})$ . By quadratic deformation we means…

math.RA2025

Anti-commutative anti-associative algebras. Acaa-algebras

Elisabeth Remm

Let $(A, I^¼)$ 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…

math.DG2024

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…

math.RA2024

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…