Substituting variables in instances of elements of SymmetricFunctions of polynomial rings

SymmetricFunctions

asked 1 year ago

yeetcode

25 ●2 ●9

updated 1 year ago

I am working with

R.<q,t> = PolynomialRing(QQ)

Q = R.fraction_field()

Sym = SymmetricFunctions(Q)

following which I declare Ht = Sym.macdonald().Ht(). I would now like to evaluate Ht for different relations between q, t. As an example, I would like to be able to compute Ht[2,1,1] with the substitution q -> q and t -> 1.

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I mean being able to evaluate something like Ht[2,1,1] but with the substitution q=t or t=1.

yeetcode ( 1 year ago )

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answered 1 year ago

Max Alekseyev

6982 ●9 ●52 ●164

updated 1 year ago

Is this what you want?

Ht = Sym.macdonald().Ht()
Ht_2 = Sym.macdonald(q=t, t=1).Ht()

f = q*Ht[3,2,1] + t*Ht[2,1,1]
print( Ht_2(f) )

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Seems to be doing the job quite alright. I find it unintuitive and restrictive that the substitution has to be made into Sym.macdonald(), but given that the list of substitutions I'm interested in is very small, I can indeed create a fixed few instances and be happy with it. Thanks! How (if at all) can I make a feature request for element-wise substitution?

yeetcode ( 1 year ago )

You can submit a feature request at https://github.com/sagemath/sage/issues

Max Alekseyev ( 1 year ago )

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Asked: 1 year ago

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Last updated: Mar 07 '24

Substituting variables in instances of elements of SymmetricFunctions of polynomial rings savecancel

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