6 papers
Atlas of Leavitt Path Algebras of small graphs
Pablo Alberca Bjerregaard, Gonzalo Aranda Pino, Dolores Martín Barquero +2
The aim of this work is the description of the isomorphism classes of all Leavitt path algebras coming from graphs satisfying Condition (Sing) with up to three vertices. In particu…
Computational techniques for proving identities in symmetric compositions
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this work a complete session in a Mathematica notebook. The aim of this notebook is to check identities in symmetric compositions. This notebook is a complement of ou…
The Lie algebra f4(Os) (split f4) with Mathematica
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this paper all the details for a complete description of the Lie algebra a in the split case at any characteristic. We finish with the determination of the expression…
The Lie algebra splitg2 with Mathematica using Zorn's matrices
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We will obtain in this paper a generic expression of any element in athe Lie algebra of the derivations of the split octonions a over an arbitrary field. For this purpose, we will…
Algorithm to compute the rank and a Cartan subalgebra of a matrix Lie algebra with Mathematica
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this paper a set of routines constructed to compute the rank of a matrix Lie algebra and also to determine a Cartan subalgebra from a given list of elements
Algorithm to generate ideals in a Lie algebra of matrices at any particular characteristic with Mathematica
Pablo Alberca Bjerregaard, Candido Martin Gonzalez
We present in this paper a routine which construct the ideal generated by a list of elements in a matrix Lie algebra at any particular characteristic. We have used this algorithm t…