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math.QA2024
Deformations of semi-direct products
Maria Alejandra Alvarez, Salim Rivière, Nadina Rojas +2
We exhibit in this article a contraction of the direct product Lie algebra of a finite-dimensional complex Lie algebra onto the semi-direct product Lie algebra $g\r…
math.QA2014
Structure theory of Rack-Bialgebras
Charles Alexandre, Martin Bordemann, Salim Riviere +1
In this paper we focus on a certain self-distributive multiplication on coalgebras, which leads to so-called rack bialgebra. Inspired by semi-group theory (adapting the Suschkewits…
math.QA2014
On the string Lie algebra
Salim Riviere, Friedrich Wagemann
We construct an abelian representative for the crossed module associated to the string Lie algebra. We show how to apply this construction in order to define quasi-invariant tensor…