On 2013-07-12, darijgrinberg <darijgrinb...@gmail.com> wrote:
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> Hello!
>
> While trying to do computations in symmetric group algebras today, I was 
> shocked by the fact that Sage uses the convention that a product \pi \psi 
> of two permutations \pi and \psi is the permutation that applies \pi first 
> and \psi later. In my opinion, this convention is highly nonstandard (I 
> only saw it in GAP and in Herstein's older books; nowadays most 
> mathematicians use the opposite convention without even mentioning it, and 
> even Herstein stopped pushing the other way) and does not match the fact 
> that permutations, like any functions, are applied to elements from the 
> left in Sage (as opposed to GAP, which at least is consequent in that 
> permutations act from the right).

IMHO it's a not as obsolete convention as you seem to imply; isn't e.g. Magma
using the same convention as GAP?
Not mentioning a lot of group theory literature...


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