ApCoCoA-1:Weyl.WMul: Difference between revisions
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<short_description>computing a Groebner basis.</short_description> | <short_description>computing a Groebner basis.</short_description> | ||
<syntax> | <syntax> | ||
Weyl.GBasis( | Weyl.GBasis(I):LIST | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
{{Beta}} | {{Beta}} | ||
This | This function computes a Groebner Basis for an ideal in a Weyl Algebra. It is currently completely independent from the other methods of package Weyl and does NOT use its data types. | ||
The input is an ideal in a ring, having 2n indeterminates. The last n indeterminates are assumed to be the derivatives. All polynomails are assumed to be in their normal form with respect to the indeterminates' commutators, e.g. all <formula>x_i </formula> are in front of all <formula \partial_i </formula>, so the 'normal' CoCoA polynomials can be (and are) used to store the weyl polynomials. The output is again a list of polynomials in a normal ring, containing the Weyl-GBasis polynomials in their normal forms. | |||
This implementation is not the final one, but currently due to requests enabled. In a later stage, the packages data types should be used. | |||
{{Stub}} | {{Stub}} | ||
</description> | </description> | ||
Revision as of 12:28, 10 March 2008
Weyl.GBasis
computing a Groebner basis.
Syntax
Weyl.GBasis(I):LIST
Description
Beta Warning: This method, package or class is a beta version. It may not work as intended or its interface may change in the next version! So please be careful when you're intending to use it.
This function computes a Groebner Basis for an ideal in a Weyl Algebra. It is currently completely independent from the other methods of package Weyl and does NOT use its data types.
The input is an ideal in a ring, having 2n indeterminates. The last n indeterminates are assumed to be the derivatives. All polynomails are assumed to be in their normal form with respect to the indeterminates' commutators, e.g. all <formula>x_i </formula> are in front of all <formula \partial_i </formula>, so the 'normal' CoCoA polynomials can be (and are) used to store the weyl polynomials. The output is again a list of polynomials in a normal ring, containing the Weyl-GBasis polynomials in their normal forms.
This implementation is not the final one, but currently due to requests enabled. In a later stage, the packages data types should be used.
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See also
