README file q-kvpr2 - July 2015


Matrix-valued orthogonal polynomials related to the quantum analogue of
                          (SU(2) x SU(2), diag) 

                                    ---

                  Noud Aldenhoven, Erik Koelink, Pablo Roman


GETTING STARTED
---------------

This README contains run instructions for the check file for q-kvpr2. You
first need to install Sage, which can be founded for free at:

    http://www.sagemath.org/

If Sage is installed run the following command in the terminal:

    > sage q-kvpr2.sage

This will allow the software algebra package to compute matrix-valued 
polynomials related to the quantum analogue of (SU(2) x SU(2), diag) upto a
certain (variable) degree. The polynomials are computed from the spherical 
functions, three-term recurrence relation and the explicit expression in terms 
of q-Racah and continuous q-ultraspherical polynomials. The orthogonality 
relations are checked, both from the explicit expression of the weight and the 
LDU-decomposition. Last the q-difference equation for the polynomials 
is verified.

Take into account that the computations can take a long time and will use
a lot of cpu and memory.
