Full paper in PDF:
$%J. M. Ancoechea Bermúdez and O. R. Campoamor, On a nilpotent Lie superalgebra which generalizes Qn, Rev. Mat. Complut. 15 (2002), no. 1, 131146.%$

On a Nilpotent Lie Superalgebra Which Generalizes Qn
Departamento de Geometría y Topología
Facultad CC. Matemáticas Univ. Complutense
28040 Madrid — Spain

Received: December 7, 2000
Revised: May 11, 2001


In Gilg (2000, 2001) the author introduces the notion of filiform Lie superalgebras, generalizing the filiform Lie algebras studied by Vergne in the sixties. In these papers, the superalgebras whose even part is isomorphic to the model filiform Lie algebra Ln  are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part is the filiform, naturally graded Lie algebra Qn  , which only exists in even dimension as a consequence of the centralizer property. Certain central extensions of Qn  which preserve both the nilindex and the cited property are also generalized to obtain nonfiliform Lie superalgebras.

2000 Mathematics Subject Classification: 17B30, 17B70.