Computational calculus of the law of a family of solvable Lie algebras

  • Authors:

  • J. C. Benjumea;M. D. Morales;J. Núñez;A. F. Tenorio

  • Affiliations:

  • Dpto. Geometría y Topología, Facultad de Matematicas, Universidad de Sevilla, Sevilla, Spain;Dpto. Geometría y Topología, Facultad de Matematicas, Universidad de Sevilla, Sevilla, Spain;Dpto. Geometría y Topología, Facultad de Matematicas, Universidad de Sevilla, Sevilla, Spain;Dpto. Mérodos Cuantitativos, Escuela Politécnica Superior, Universidad Pablo de Olavide, Sevilla, Spain

  • Venue:
  • Journal of Computational Methods in Sciences and Engineering
  • Year:
  • 2012

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Abstract

This paper studies the law of the Lie algebras hn associated with a particular type of Lie groups: the Lie groups Hn formed by all the n × n upper-triangular matrices without zeros in their main diagonal. Indeed, these laws are obtained by means of a computational algorithm which we have constructed and particularly implemented by using the symbolic computation package MAPLE. Besides, the complexity of this algorithm is studied by considering the number of computations carried out with this implementation.