International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 632518, 9 pages
Lie Supergroups Obtained from 3-Dimensional Lie Superalgebras Associated to the Adjoint Representation and Having a 2-Dimensional Derived Ideal
1CIMAT, Apdo. Postal 402, C.P., Guanajuato 36000, GTO, Mexico
2Facultad de Matemáticas, Universidad Autónoma de Yucatán, Apdo. Postal 172, C.P., Mérida 97110, YUC, Mexico
Received 18 January 2007; Revised 23 May 2007; Accepted 31 October 2007
Academic Editor: Nils-Peter Skoruppa
Copyright © 2008 I. Hernández and R. Peniche. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We give the explicit multiplication law of the Lie supergroups for which
the base manifold is a 3-dimensional Lie group and whose underlying Lie superalgebra
which satisfies , acts on via the adjoint representation and has
a 2-dimensional derived ideal.