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Cyclic permutations

  1. Aug 17, 2015 #1
    εijk is the permutation symbol and cyclic permutations, for example 123→231→312, are always even, thus ε123231312=+1, but:
    ε132213321=-1
    I understand the first 2, but ε321 is even, no? and also all this series is cyclic, it's not all even and....
     
  2. jcsd
  3. Aug 17, 2015 #2

    micromass

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    Why would ##\varepsilon_{321}## be even?
     
  4. Aug 17, 2015 #3
    Oh sorry, right, but my original question is why is it written in a text book that every cyclic permutation is even while the cyclic permutations ε132=ε213=ε321 are odd?
     
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