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SymmetricReduction strange behaviour

  • To: mathgroup at smc.vnet.net
  • Subject: [mg120015] SymmetricReduction strange behaviour
  • From: Francisco Javier García Capitán <garciacapitan at gmail.com>
  • Date: Tue, 5 Mar 2013 04:17:04 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • Delivered-to: l-mathgroup@wolfram.com
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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}

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Francisco Javier Garc=EDa Capit=E1n
http://garciacapitan.99on.com




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