muEC::SYMF::SfInternal – computes the inner tensor product of symmetric functions

The muEC::SYMF::SfInternal function computes the inner tensor product of symmetric functions sf1 and sf2. This operation is also called the internal product. Since sf1 and sf2 may be seen as virtual characters, muEC::SYMF::SfInternal computes the symmetric function associated with the product (Kronecker product) of these two virtual characters.

For the basis of products of power-sums, if math, and math otherwise.

The result is expressed in the product of power-sums basis.

→ Examples

Call:

muEC::SYMF::SfInternal(sf1, sf2)

Parameters:

sf1: 

any symmetric functions

sf2: 

any symmetric functions

Related Functions:

muEC::SYMF::Char2Sf, muEC::SYMF::Sf2Char, muEC::SYMF::SfPlethysm, muEC::SYMF::SfZee

Example 1:

muEC::SYMF::SfInternal( p[3,3,2,1,1], p[3,3,2,1,1] );

math

muEC::SYMF::SfZee( [3,3,2,1,1] );

math

muEC::SYMF::SfInternal( s[3,2,1], p[3]*h[3] );

math