7
$\begingroup$

Does anyone have a suggestion for the best computer program to perform calculations in the 2nd Weyl algebra?

$\endgroup$
5
$\begingroup$

Weyl algebra computations are implemented in Macaulay 2 (package D-modules). Here is a manual.

$\endgroup$
4
$\begingroup$

I use GAP (http://www.gap-system.org/) with the GBNP package (http://www.win.tue.nl/~amc/pub/grobner/chap0.html). You define Weyl algebra as a quotient of free associative algebra by the ideal $<x_1 x_2 - x_2 x_1 - 1>$. Easy to generalize to arbitrary dimension and can handle Clifford algebras (of arbitrary signatures) in the same setting.

$\endgroup$
3
$\begingroup$

Singular claims to be wise in the ways of Weyl algebra.

$\endgroup$
  • $\begingroup$ Have you used singular? I have been trying to install and I am struggling. $\endgroup$ – No1729 Sep 2 '15 at 11:51
  • $\begingroup$ Struggling in what way? Where are you installing it? $\endgroup$ – Igor Rivin Sep 2 '15 at 11:53
  • $\begingroup$ I have followed the GUIDED CYGWIN INSTALL instructions on the site you linked. The mirror they suggest doesn't seem to up anymore. I have tried other mirrors but in the end when I try to run Singular out of the Cygwin window I just get error messages. $\endgroup$ – No1729 Sep 2 '15 at 11:56
  • 5
    $\begingroup$ If you install Sage, you get a copy of Singular included with it, and the Sage install process is quite carefully tested on a wide range of platforms, so it's possible that this may be easier than installing Singular alone. $\endgroup$ – David Loeffler Sep 30 '15 at 21:15
  • $\begingroup$ you can run singular on cloud.sagemath.com $\endgroup$ – Dima Pasechnik Oct 1 '15 at 4:13

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.