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math.NA2002
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…
math.NA2002
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
math.NA2002
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…