Journal of Lie Theory 16 (2006), No. 1, 115--130
Copyright Heldermann Verlag 2006
Mathematica and Heisenberg Type Superalgebras
L. M. Camacho
Dpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012--Sevilla, Spain
lcamacho@us.es
J. R. Gómez
Dpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012--Sevilla, Spain
jrgomez@us.es
R. M. Navarro
rnavarro@unex.es
I. Rodríguez
rodgar@uhu.es
With the support of software Mathematica 4.0 we obtain important properties of Heisenberg type superalgebras, this type of superalgebras corresponds to the family of Lie superalgebras that generalize Heisenberg algebras. In particular, we obtain concrete classifications for arbitrary dimension of even part and dimension of odd part up to three.
Keywords: Lie superalgebra, nilpotent, classification, Heisenberg algebras.
MSC: 17B30, 17B60
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