Algorithm to generate ideals in a Lie algebra of matrices at any particular characteristic with Mathematica

2002/04/30 by Pablo Alberca Bjerregaard, Bjerregaard, Pablo Alberca, Cándido Martı́n González +1
Computer Science · #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0204350

Abstract

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 to analyze the problem of the simplicity of some Lie algebras.

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