Hi Nicolas, 
unless I missed something,
your 
http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetric-functions.html
lacks any information as to how to take any symmetric polynomial, and 
expand it  in some basis of symmetric functions.
Is it even possible with the combinat functionality?
It's often suggested that in practice Groebner-basis based methods are more 
efficient...

Dmitrii

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