(38). An Elemental Characterization of Orthogonal Ideals in Lie Algebras.

Autores: Jose Brox, Esther Garcia and Miguel Gómez Lozano

Revista: Mediterr. J. Math. 11 (2014) 1061-1067 DOI 10.1007/s00009-013-0344-3      (133 de 310 Factor de impacto: 0.656)

Abstract: In this paper, we prove that the ideals generated by two elements x, y in a nondegenerate Lie algebra L over a ring of scalars Φ with 1/2 and 1/3 are orthogonal if and only if [x, [y,L]] = 0.