17 citations · 17 across the 1 of their papers we have counts for
8 papers
Post-Lie Algebras and Isospectral Flows
Kurusch Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini +1
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical -matrix. An explicit exponential solution of the corresponding Lie bracket flo…
On the Lie enveloping algebra of a post-Lie algebra
Kurusch Ebrahimi-Fard, Alexander Lundervold, Hans Munthe-Kaas
We consider pairs of Lie algebras and , defined over a common vector space, where the Lie brackets of and are related via a post-Lie algebra structure. T…
Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras
Kurusch Ebrahimi-Fard, Alexander Lundervold, Dominique Manchon
Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying composi…
On post-Lie algebras, Lie--Butcher series and moving frames
Hans Munthe-Kaas, Alexander Lundervold
Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operad…
Algebraic structure of stochastic expansions and efficient simulation
Kurusch Ebrahimi-Fard, Alexander Lundervold, Simon J. A. Malham +2
We investigate the algebraic structure underlying the stochastic Taylor solution expansion for stochastic differential systems.Our motivation is to construct efficient integrators.…
On algebraic structures of numerical integration on vector spaces and manifolds
Alexander Lundervold, Hans Z. Munthe-Kaas
Numerical analysis of time-integration algorithms has been applying advanced algebraic techniques for more than fourty years. An explicit description of the group of characters in…