2002arXiv (Cornell University)Open access

Algorithm to compute the rank and a Cartan subalgebra of a matrix Lie algebra with Mathematica

Pablo Alberca Bjerregaard, Cándido Martı́n González

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Abstract

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

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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

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Available abstract

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

Key concepts: Cartan subalgebra, Cartan matrix, Subalgebra, Rank (graph theory), Mathematics, Algebra over a field, Kac–Moody algebra, Set (abstract data type)

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