• Post-lie algebras and isospectral flows 

      Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans (Peer reviewed; Journal article, 2015-11-20)
      In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...
    • Pre- and post-lie algebras: The algebro-geometric view 

      Fløystad, Gunnar; Munthe-Kaas, Hans (Conference object; Peer reviewed; Journal article, 2019)
      We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras and MKW Hopf algebras are then coordinate rings of the infinite-dimensional affine varieties ...
    • Symmetric spaces and Lie triple systems in numerical analysis of differential equations 

      Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella (Peer reviewed; Journal article, 2014-03)
      A remarkable number of different numerical algorithms can be understood and analyzed using the concepts of symmetric spaces and Lie triple systems, which are well known in differential geometry from the study of spaces of ...