D.5.2.20 chProdL

Usage:

chProdL(r, c, R, C); r, R integers; c, C lists of polynomials

Return:

list

Purpose:

computes the list of Chern classes of the product of two vector bundles in terms of their Chern clases

Note:

Implementation of the formula of Lascoux, the Schur polynomials are computed using the second Jacobi-Trudi formula (in terms of the Chern classes)

LIB "chern.lib";
// The Chern classes of the tensor product of a vector bundle of rank 3
// with Chern classes c(1), c(2), c(3) and a vector bundle of rank 1 with
// Chern class C(1)
ring r = 0, ( c(1..3), C(1)), dp;
list c=c(1..3);
list C=C(1);
print( chProdL(3,c,1,C) );