#12969: Coercion failures in symmetric functions
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Reporter: aschilling | Owner: sage-combinat
Type: defect | Status: new
Priority: major | Milestone: sage-5.3
Component: combinatorics | Resolution:
Keywords: symmetric functions, coercion | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Comment (by SimonKing):
Helas. It is ''not'' the same. Doing the above, one gets an awfully
complicated composition of maps, probably rather inefficient.
{{{
sage: H = MacdonaldPolynomialsH(QQ)
sage: P = MacdonaldPolynomialsP(QQ)
sage: m = SFAMonomial(P.base_ring())
sage: Ht = MacdonaldPolynomialsHt(QQ)
sage: Ht.coerce_map_from(P)
Composite map:
From: Macdonald polynomials in the P basis over Fraction Field of
Multivariate Polynomial Ring in q, t over Rational Field
To: Macdonald polynomials in the Ht basis over Fraction Field of
Multivariate Polynomial Ring in q, t over Rational Field
Defn: Composite map:
From: Macdonald polynomials in the P basis over Fraction Field
of Multivariate Polynomial Ring in q, t over Rational Field
To: Symmetric Function Algebra over Fraction Field of
Multivariate Polynomial Ring in q, t over Rational Field, Schur symmetric
functions as basis
Defn: Composite map:
From: Macdonald polynomials in the P basis over Fraction
Field of Multivariate Polynomial Ring in q, t over Rational Field
To: Macdonald polynomials in the H basis over Fraction
Field of Multivariate Polynomial Ring in q, t over Rational Field
Defn: Composite map:
From: Macdonald polynomials in the P basis over
Fraction Field of Multivariate Polynomial Ring in q, t over Rational Field
To: Symmetric Function Algebra over Fraction
Field of Multivariate Polynomial Ring in q, t over Rational Field, Schur
symmetric functions as basis
Defn: Composite map:
From: Macdonald polynomials in the P
basis over Fraction Field of Multivariate Polynomial Ring in q, t over
Rational Field
To: Macdonald polynomials in the J
basis with q=q and t=t over Fraction Field of Multivariate Polynomial Ring
in q, t over Rational Field
Defn: Composite map:
From: Macdonald polynomials in
the P basis over Fraction Field of Multivariate Polynomial Ring in q, t
over Rational Field
To: Symmetric Function Algebra
over Fraction Field of Multivariate Polynomial Ring in q, t over Rational
Field, Schur symmetric functions as basis
Defn: Composite map:
From: Macdonald
polynomials in the P basis over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field
To: Macdonald
polynomials in the S basis over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field
Defn: Composite map:
From: Macdonald
polynomials in the P basis over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field
To: Symmetric
Function Algebra over Fraction Field of Multivariate Polynomial Ring in q,
t over Rational Field, Schur symmetric functions as basis
Defn: Generic
morphism:
From:
Macdonald polynomials in the P basis over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field
To:
Macdonald polynomials in the J basis over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field
then
Generic
morphism:
From:
Macdonald polynomials in the J basis over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field
To:
Symmetric Function Algebra over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field, Schur symmetric functions as basis
then
Generic
morphism:
From: Symmetric
Function Algebra over Fraction Field of Multivariate Polynomial Ring in q,
t over Rational Field, Schur symmetric functions as basis
To: Macdonald
polynomials in the S basis over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field
then
Generic morphism:
From: Macdonald
polynomials in the S basis over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field
To: Symmetric Function
Algebra over Fraction Field of Multivariate Polynomial Ring in q, t over
Rational Field, Schur symmetric functions as basis
then
Generic morphism:
From: Symmetric Function Algebra
over Fraction Field of Multivariate Polynomial Ring in q, t over Rational
Field, Schur symmetric functions as basis
To: Macdonald polynomials in
the J basis with q=q and t=t over Fraction Field of Multivariate
Polynomial Ring in q, t over Rational Field
then
Generic morphism:
From: Macdonald polynomials in the J
basis with q=q and t=t over Fraction Field of Multivariate Polynomial Ring
in q, t over Rational Field
To: Symmetric Function Algebra over
Fraction Field of Multivariate Polynomial Ring in q, t over Rational
Field, Schur symmetric functions as basis
then
Generic morphism:
From: Symmetric Function Algebra over Fraction
Field of Multivariate Polynomial Ring in q, t over Rational Field, Schur
symmetric functions as basis
To: Macdonald polynomials in the H basis over
Fraction Field of Multivariate Polynomial Ring in q, t over Rational Field
then
Generic morphism:
From: Macdonald polynomials in the H basis over Fraction
Field of Multivariate Polynomial Ring in q, t over Rational Field
To: Symmetric Function Algebra over Fraction Field of
Multivariate Polynomial Ring in q, t over Rational Field, Schur symmetric
functions as basis
then
Generic morphism:
From: Symmetric Function Algebra over Fraction Field of
Multivariate Polynomial Ring in q, t over Rational Field, Schur symmetric
functions as basis
To: Macdonald polynomials in the Ht basis over Fraction Field
of Multivariate Polynomial Ring in q, t over Rational Field
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12969#comment:10>
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