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5.1.66 koszul

Syntax:
koszul ( int_expression, int_expression )
koszul ( int_expression, ideal_expression )
koszul ( int_expression, int_expression, ideal_expression )
Type:
matrix
Purpose:
koszul(d,n) computes a matrix of the Koszul relations of degree d of the first n ring variables.

koszul(d,id) computes a matrix of the Koszul relations of degree d of the generators of the ideal id.

koszul(d,n,id) computes a matrix of the Koszul relations of degree d of the first n generators of the ideal id.

Note:
koszul(1,id), koszul(2,id), ... form a complex, that is, the product of the matrices koszul(i,id) and koszul(i+1,id) equals zero.
Example:
 
See int; matrix.

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