# Difference between revisions of "ApCoCoA:Weyl.WMul"

(update wtr. http://www.apcocoa.org/forum/viewtopic.php?f=20&t=886) |
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<command> | <command> | ||

<title>Weyl.GBasis</title> | <title>Weyl.GBasis</title> | ||

− | <short_description>computing a Groebner basis.</short_description> | + | <short_description>computing a Groebner basis in a weyl algebra.</short_description> |

<syntax> | <syntax> | ||

Weyl.GBasis(I):LIST | Weyl.GBasis(I):LIST | ||

</syntax> | </syntax> | ||

<description> | <description> | ||

− | |||

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. | 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. | ||

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This implementation is not the final one, but currently due to requests enabled. In a later stage, the packages data types should be used. | This implementation is not the final one, but currently due to requests enabled. In a later stage, the packages data types should be used. | ||

− | |||

</description> | </description> | ||

<seealso> | <seealso> |

## Revision as of 19:57, 12 March 2008

## Weyl.GBasis

computing a Groebner basis in a weyl algebra.

### Syntax

Weyl.GBasis(I):LIST

### Description

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.

### See also