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Topic review - Construction of a subalgebra of the Weyl-Algebra |
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Re: Construction of a subalgebra of the Weyl-Algebra |
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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.
sagbi.lib works with subalgebras. (see [url]https://www.singular.uni-kl.de/Manual/4-1-3/sing_1439.htm[/url]), 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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Posted: Fri Jul 31, 2020 5:11 pm |
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Construction of a subalgebra of the Weyl-Algebra |
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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
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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Posted: Fri Jul 31, 2020 2:58 pm |
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It is currently Fri May 13, 2022 10:54 am
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