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SymmetricReduction strange behaviour
Posted:
Mar 5, 2013 4:15 AM


Can anybody reproduce this error? I mean, expr is symmetric with respect to a, b, c, then the second component should be zero in both cases. Am I wrong?
expr = (a  b) (b  c) (c  a); SymmetricReduction[expr, {a, b, c}] SymmetricReduction[expr^2, {a, b, c}]
{3 a b c  (a + b + c) (a b + a c + b c), 2 a b^2 + 2 a^2 c + 2 b c^2} The second component should be zero!
{27 a^2 b^2 c^2  4 a b c (a + b + c)^3 + 18 a b c (a + b + c) (a b + a c + b c) + (a + b + c)^2 (a b + a c + b c)^2  4 (a b + a c + b c)^3, 0}
  Francisco Javier Garc=EDa Capit=E1n http://garciacapitan.99on.com



