Cyclic permutations

  • Thread starter Karol
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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....
 
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Why would ##\varepsilon_{321}## be even?
 
1,380
22
Why would ##\varepsilon_{321}## be even?
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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