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Effective computation of algebra of derivations of Lie algebras

In: Computer Algebra in Scientific Computing

Author

Listed:
  • L. M. Camacho

    (Univ. Sevilla, Dpto. Matemática Aplicada I)

  • J. R. Gómez

    (Univ. Sevilla, Dpto. Matemática Aplicada I)

  • R. M. Navarro

    (Univ. de Extremadura, Dpto. de Matemáticas)

  • I. Rodríguez

    (Escuela Politécnica Superior, Universidad de Huelva, Departamento Matemáticas)

Abstract

By the software Mathematica 3.0 we design a program that allows calculate the algebra of derivations of any Lie algebra. As an example we use this program in a special class of Lie algebras, (n - 4)-filiform Lie algebras of dimension n.

Suggested Citation

  • L. M. Camacho & J. R. Gómez & R. M. Navarro & I. Rodríguez, 2000. "Effective computation of algebra of derivations of Lie algebras," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing, pages 101-111, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-57201-2_10
    DOI: 10.1007/978-3-642-57201-2_10
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