ApCoCoA-1:Weyl.CharI
Weyl.CharI
Computes the characteristic ideal of a D-ideal I in Weyl algebra A_n.
Syntax
Weyl.CharI(I:IDEAL):IDEAL
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This function omputes the characteristic ideal, InIw(I,[0,e]), of a D-ideal I the Weyl algebra D. This is an ideal in the commutative polynomial ring in 2n variables. The zeroset of this ideal in affine 2n-space is called characteristic variety of I. Due to limitations in CoCoA4, [0,e] is replaced by [1,10000]. This will be modified later in the future release with CoCoA5.
This function computes a Groebner Basis for an Ideal I = (f_1,f_2, ..., f_r) where every generator f_i should be a Weyl polynomial in Normal form.
@param I An ideal in the Weyl algebra.
@return Characteristic ideal of the given ideal.
Example
Example
See also
Introduction to Groebner Basis in CoCoA
