On an Algorithm for Finding Derivations of Lie Algebras

• Ayala, Víctor ^[1] ; Kizil, Eyup ; De Azevedo Tribuzy, Ivan ^[2]
  1. [1] Universidad Católica del Norte

     Universidad Católica del Norte

     Antofagasta, Chile

     
  2. [2] Universidade Federal de Manaus.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 1, 2012, págs. 81-90
• Idioma: inglés
• DOI: 10.4067/S0716-09172012000100008
• Enlaces
  • Texto completo
• Resumen

  • Let g be an arbitrary finite dimensional Lie algebra over the field R. We give as an additional alternative a detailed overview of an algorithm for finding derivations of g since such procedures are often of interest.

• Referencias bibliográficas
  • Citas [1] V. Ayala and J. Tirao, Linear control systems on Lie groups and controllability, in:Proceedings of the American Mathematical Society,...
  • [2] E. Beck, B. Kolman and I.N. Stewart, Computing the structure of a Lie algebra, in:R.E.Beck and B. Kolman, editors, Non-associative rings...
  • [3] W. A. de Graaf, Lie algebras: Theory and Algorithms, North-Holland Mathematical Library, (2000).
  • [4] G. F. Leger, A note on the derivations of Lie algebras, Proc. Amer. Math. Soc. 4, pp. 511-514, (1953).
  • [5] D. Leites and G. Post, Cohomology to compute, Proceedings of the third conference on Computers and Mathematics, pp. 73-81, (1989).
  • [6] A. O. Nielsen, Unitary representations and coadjoint orbits of low dimensional nilpotent Lie groups, Queen’s Papers in Pure and Applied...
  • [7] S. Togo, Derivations of Lie algebras. J. Sci. Hiroshima Univ. Ser. A-1-Math 28pp. 133-158, (1964).
  • [8] V.S. Varadaradjan, Lie groups, Lie algebras and Their representations, Prentice-Hall, (1974).