> Are you sure?
This was explained to me by François Bergeron, so pretty much yes :-)
(up to the point that we are speaking about the same thing). Actually,
I think he told me this example was in the Book.
The point is that relabeling a permutation in cycle notation
corresponds to the action of S_n on itself by *conjugation*, and not
*on the right* as when you relabel a permutation in array notation.
Example, relabeling by the transposition (1,2):
(1,2) (3) = 213
|| ||
\/ \/
(1,2) (3) <> 123
Cheers,
Nicolas
--
Nicolas M. Thiéry "Isil" <[EMAIL PROTECTED]>
http://Nicolas.Thiery.name/
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