A4,11 [open]

The Lie-algebra A_ (4, 11) is defined via the adjoint map (1,2)-tensor ad

A11 = ad = Table2ad[2 Τ[({{0, 0, 0, 2 a e_1}, {0, 0, e_1, a e_2 - e_3}, {0, 0, 0, e_2 + a e_3}, {0, 0, 0, 0}})]] ; [adJacobi[ad]] ;

where a>0.

The automorphism group of the Lie-algebra is generated by the following matrices:

M = Algebra[4, Τdα[ad, 1, #1] &, ] ;

ShowMat[EXP[λ #1] &/@M]


Created by Mathematica  (September 15, 2007) Valid XHTML 1.1!