342 citations · 1.1k across the 38 of their papers we have counts for
39 papers
Free Reductive Lie Algebra Pairs of Lie-Yamaguti algebras
Saïd Benayadii, Martin Bordemann, Friedrich Wagemann
The goal of this article is to show the categorical links between on the one hand the category of reductive Lie algebra pairs and on the other hand the category of…
A gentle introduction to Drinfel'd associators
Martin Bordemann, Andrea Rivezzi, Thomas Weigel
In this note we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and pentagon equations b…
Noncommutative localization in smooth deformation quantization
Hamilton Araujo, Martin Bordemann, Benedikt Hurle
In this paper we shall show the equivalence of algebraic and analytic localisation for algebras of smooth deformation quantization for several situations. The proofs are based on o…
The Minimality of Determinantal Varieties
Martin Bordemann, Jaigyoung Choe, Jens Hoppe
The determinantal variety is defined to be the set of all real matrices with whose ranks are strictly smaller than . It is proved that is…
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…
L-infinity Formality check for the Hochschild Complex of Certain Universal Enveloping Algebras
Martin Bordemann, Olivier Elchinger, Simone Gutt +1
We study the L-infinity-formality problem for the Hochschild complex of the universal enveloping algebra of some examples of Lie algebras such as Cartan-3-regular quadratic Lie alg…