3 papers
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.KT2024
Crossed modules and cohomology of algebras over an operad
Johan Leray, Salim Rivière, Friedrich Wagemann
We introduce a general definition of a -crossed module of -algebras over an algebraic operad , which coincides with historical definitions in the cases of the operads As a…
math.AT2018
Algebraic deformation quantization of Leibniz algebras
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. We construct canon-ical rack bialgebras (some kind of e…