Dan,
> The denominators are mostly vandermondes. However, there is something in
> type C (symplectic) which will have a vandermonde in the x's and a Weyl
> type C denominator in the y's. But that's probably a subject for a
> different email altogether, because multivariate Laurent power series
Hi Mark, Travis and Darij,
@ Travis: Thanks for catching the SR bug and for pointing me to the fact
pfaffian is now implemented in sage. Last time I checked (not so recently),
it wasn't:)
@ Mark: As I said, the denominators that *are not* power series are
vandermondes or C Weyl denominators. F
On Tuesday, March 4, 2014 5:16:14 PM UTC+1, Mark Shimozono wrote:
>
> Dan,
>
> Before giving any "sage advice" I need to know how bad the
> "real denominators" will get.
>
> A special trick can be used if the denominators are limited to
> (x_i - x_j).
>
The denominators are mostly vandermon
Um, Sorry!
In preparation for converting to symmetric polynomials I had
used an iterated polynomial ring
Rt = QQ['t']
Ry = Rt['y1,y2,y3']
R = Ry['x1,x2,x3']
and the fraction field of the ring R is not smart enough to divide by x1-x2
in general.
If you use the polynomial ring
S = QQ['x1,x2,x3,
Hi Mark,
> Someone correct me if I am ignorant, but
> even after fixing syntax errors, the problem will be that multivariate
> polynomials
> don't know when they are divisible by things like x_i - x_j.
Really?
sage: P
Multivariate Polynomial Ring in x, y over Rational Field
sage: P.inject_varia
Dan,
Someone correct me if I am ignorant, but
even after fixing syntax errors, the problem will be that multivariate
polynomials
don't know when they are divisible by things like x_i - x_j.
--Mark
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Dan,
Before giving any "sage advice" I need to know how bad the
"real denominators" will get.
A special trick can be used if the denominators are limited to
(x_i - x_j).
Your toy example involves (1 - t x_i y_j)^{-1}
which is no problem at all using geometric series in an extra variable.
--Mark
Hi all,
Sorry for asking a somewhat related question to one I asked a while ago,
but I find myself in the situation of trying to expand a certain
multivariate symmetric series (polynomial after cutoff) in certain classes
of symmetric functions and can't seem to get it working.
The following i
