A4,6 [open]

The Lie-algebra A_ (4, 6) is defined via the adjoint map (1,2)-tensor ad.

A06 = ad = Table2ad[2 Τ[({{0, 0, 0, a_1 e_1}, {0, 0, 0, a_2e_2 - e_3}, {0, 0, 0, e_2 + a_2e_3}, {0, 0, 0, 0}})]] ; [adJacobi[ad]] ;

where a_1≠0 and a_2≥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]


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