is defined via the adjoint map (1,2)-tensor ad
A4,9 [open]
The Lie-algebra is defined via the adjoint map (1,2)-tensor ad
![A09 = ad = Table2ad[2 Τ[({{0, 0, 0, (1 + a) e_1}, {0, 0, e_1, e_2}, {0, 0, 0, a e_3}, {0, 0, 0, 0}})]] ; [adJacobi[ad]] ;](../HTMLFiles/index_271.gif)
where -1<a≤1.
The automorphism group of the Lie-algebra is generated by the following matrices:
![M = Algebra[4, Τdα[ad, 1, #1] &, ] ;](../HTMLFiles/index_272.gif){kind=small}
![ShowMat[EXP[λ #1] &/@M]](../HTMLFiles/index_273.gif){kind=small}
| Created by Mathematica (September 15, 2007) |  |