index_37.html

A4,7

$ShowSol[A07, ( {{0, b_2, b_3, b_4}, {b_2, b_5, b_6, b_7}, {b_3, b_6, b_8, b_9}, {b_4, b_7, b_9, b_10}} ), {b_2→0, b_3→0, b_4→ -(b_5^2 + 4 b_6^2 - 4 b_5 b_8)^(1/2)}]$

$We consider the Lie-algebra with commutator<br /> ad = ( {{0, 0, 0, 2 e_1}, {0, 0, e_1, e_2}, {0, -e_1, 0, e_2 + e_3}, {-2 e_1, -e_2, -e_2 - e_3, 0}} )$

$ShowSol[A07, ( {{0, b_2, b_3, b_4}, {b_2, b_5, b_6, b_7}, {b_3, b_6, b_8, b_9}, {b_4, b_7, b_9, b_10}} ), {b_2→0, b_3→0, b_4→ (b_5^2 + 4 b_6^2 - 4 b_5 b_8)^(1/2)}]$

$We consider the Lie-algebra with commutator<br /> ad = ( {{0, 0, 0, 2 e_1}, {0, 0, e_1, e_2}, {0, -e_1, 0, e_2 + e_3}, {-2 e_1, -e_2, -e_2 - e_3, 0}} )$

Created by Mathematica (September 15, 2007)