3.4k citations
- Centre National de la Recherche ScientifiqueFR861 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR849 papers
- Institut Pluridisciplinaire Hubert CurienFR822 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR814 papers
- CEA Paris-SaclayFR809 papers
- Université de StrasbourgFR775 papers
- Institut de Recherche sur les Lois Fondamentales de l'UniversFR774 papers
- Institute of Nuclear Physics of LyonFR773 papers
- RWTH Aachen UniversityDE762 papers
- Universidade do Estado do Rio de JaneiroBR761 papers
- Centro Brasileiro de Pesquisas FísicasBR750 papers
- Charles UniversityCZ740 papers
12 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…
BiHom-Novikov algebras and infinitesimal BiHom-bialgebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We introduce and study infinitesimal BiHom-bialgebras, BiHom-Novikov algebras, BiHom-Novikov-Poisson algebras, and find some relations among these concepts. Our main result is to s…
{sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We introduce the concept of {sigma, tau}-Rota-Baxter operator, as a twisted version of a Rota-Baxter operator of weight zero. We show how to obtain a certain {sigma, tau}-Rota-Baxt…
BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
We investigate some properties of Rota-Baxter operators on BiHom-Lie algebras. Along the way, we introduce BiHom analogues of pre-Lie and Leibniz algebras.
Rota-Baxter operators on BiHom-associative algebras and related structures
Ling Liu, Abdenacer Makhlouf, Claudia Menini +1
The purpose of this paper is to study Rota-Baxter operators for BiHom-associative algebras. Moreover, we introduce and discuss the properties of the notions of BiHom-(tri)dendrifor…