I'm sorry, but I don't see what the problem is.  Are you saying that
it doesn't work when the coefficient is 1?  Can you maybe give a
simple example to show what you are trying to do, and how it doesn't
work?

Aaron Meurer

On Wed, Mar 7, 2012 at 2:18 PM, Alan Bromborsky <[email protected]> wrote:
> Consider using subs in the following way.  You have two sets of noncommuting
> bases e_1,...,e_n and h_1,...,h_n and they are related by (summation
> convention for repeated indexes):
>
>    e_i = a_ij*h_j  and h_i = b_ij*e_j where a_ij and b_ij are sympy scalars
> (commuting)
>
> so you create the following dictionarys:
>
>    e_to_h = {e_i:a_ij*h_h} and h_to_e = {h_i:b_ij*e_j}
>
> so that if you have a expr linear in an e_i representation and you want to
> go to an h_i representation you simply:
>
>    expr.subs(e_to_h)
>
> or if you have a expr linear in an h_i representation and you want to go to
> an e_i representation you simply:
>
>    expr.subs(h_to_e)
>
> This works unless you have entries in the dictionaries of the form (for
> example the first entry in each dictionary):
>
>    e_to_h[e_1] = h_1  and  h_to_e[h_1] = e1
>
> If you go back and forth between representations you change the keys in the
> dictionaries.  Is there anyway to avoid this?
>
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