and Let {e, h, f} and {x, y, z) be bases for A with Lie products...

   

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and Let {e, h, f} and {x, y, z) be bases for A₁ with Lie products [h, e] = 2e, [h, f] = -2f, [e, f] = h [x, y] =2x + 2y, Find functions gr, gy and 9z such that x → gr(e, h), defines an automorphism of A₁. [y, 2] = 2y + 2z, y →gy (h), [z, x] = 2z+ 2x. z →g₂ (h, f), and Let {e, h, f} and {x, y, z) be bases for A₁ with Lie products [h, e] = 2e, [h, f] = -2f, [e, f] = h [x, y] =2x + 2y, Find functions gr, gy and 9z such that x → gr(e, h), defines an automorphism of A₁. [y, 2] = 2y + 2z, y →gy (h), [z, x] = 2z+ 2x. z →g₂ (h, f),

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