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| Construction of a subalgebra of the Weyl-Algebra https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=2918 |
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| Author: | jannis [ Fri Jul 31, 2020 2:58 pm ] |
| Post subject: | Construction of a subalgebra of the Weyl-Algebra |
Hi everyone, i'm currently writing my master thesis and got stuck at a problem which i want to implement. In my thesis I want to work over a subset (K-subalgebra) of the Weyl-Algebra, which is generated by (x, x*dx), and want to perform Gröbner basis -, syzygie module -, normal form computations ect.. Is there any way to construkt such a set V ( which should be something like V=QQ[x,x*dx]/(dx*x-x*dx=1) ) and tell Singular to perform the already implemented algorithms over V? Thanks a lot Jannis |
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| Author: | hannes [ Fri Jul 31, 2020 5:11 pm ] |
| Post subject: | Re: Construction of a subalgebra of the Weyl-Algebra |
sagbi.lib works with subalgebras. (see https://www.singular.uni-kl.de/Manual/4-1-3/sing_1439.htm), It was not thought for working over non-commative rings, but some of these techniques may applay alsoin your case of the Weyl algabera. |
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