internalProduct(RingElement,RingElement) -- Kronecker product of symmetric functions

Synopsis

Function: internalProduct
Usage:

ip = internalProduct(f1,f2)
Inputs:
- f1, a ring element, element of a Symmetric ring or a Schur ring
- f2, a ring element, element of a Symmetric ring or a Schur ring
Outputs:
- ip, a ring, a Symmetric ring or a Schur Ring

Given symmetric functions f1 and f2, the method computes the Kronecker product ip between f1 and f2. The output ip is an element in the ring of f2.

i1 : R = symmetricRing(QQ,6);

i2 : S = schurRing(QQ,s,6);

i3 : toE(h_3**e_3)

o3 = e
      3

o3 : R

i4 : Q = schurRing(QQ,q,6);

i5 : internalProduct(s_{3,3},q_{4,2})

o5 = q    + q      + q    + q      + q
      5,1    4,1,1    3,3    3,2,1    2,2,1,1

o5 : Q

An error is returned if f1 and f2 don't have the same degree.