698 citations · 725 across the 7 of their papers we have counts for
8 papers
Kummer-Witt-Jackson algebras
Daniel Larsson
This paper is concerned with the construction of a small, but non-trivial, example of a polynomial identity algebra, which we call the \emph{Jackson algebra}, that will be used in…
Arithmetic Geometry of Non-Commutative Spaces with Large Centres
Daniel Larsson
This paper introduces arithmetic geometry for polynomial identity algebras using non-commutative (formal) deformation theory. Since formal deformation theory is inherently local th…
Torsion points on Elliptic Curves and the Jackson Space
Daniel Larsson
In this paper we will use a particular non-commutative scheme to, among other things, study the ramification properties of the field of -torsion points on an elliptic curve and…
Arithmetic hom-Lie algebras, twisted derivations and non-commutative arithmetic schemes
Daniel Larsson
Hom-Lie algebras are non-associative algebras generalizing Lie algebras by twisting the Jacobi identity by an endomorphism. The main examples are algebras of twisted derivations (i…
Arithmetic hom-Lie algebras and L-functions
Daniel Larsson
This note started out as a letter to Jürgen Ritter and is brief attempt to entice some number theorists to study hom-Lie algebras.
Quasi-Deformations of sl_2(\F) using twisted derivations
Daniel Larsson, Sergei D. Silvestrov
In this paper we apply a method devised in \cite{HartLarsSilv1D,LarsSilv1D} to the three-dimensional simple Lie algebra $\sll$. One of the main points of this deformation method is…