342 citations · 1.1k across the 38 of their papers we have counts for
14 papers · 1 filter
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…
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…
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…
A quasi-Lie bialgebra formulation of the Pohlmeyer-Rehren Poisson algebra
Martin Bordemann, Benjamin Enriquez, Laurent Hofer
We present a quasi-Lie bialgebra (QLBA) quantization problem which comes from an algebraic reformulation of the Nambu-Goto string theory and invariant charges by Pohlmeyer and Rehr…
Deformation Quantization of Surjective Submersions and Principal Fibre Bundles
Martin Bordemann, Nikolai Neumaier, Stefan Waldmann +1
In this paper we establish a notion of deformation quantization of a surjective submersion which is specialized further to the case of a principal fibre bundle: the functions on th…