IntU


IntU is a package for Mathematica computer algebra system, which allows calculating polynomial integrals over the unitary group with respect to the Haar measure. he preprint of the paper describing the package is available at Z. Puchała, J.A. Miszczak, Symbolic integration with respect to the Haar measure on the unitary group in Mathematica, arXiv:1109.4244.


I1 = {1, 1, 1, 2, 2}; J1 = {2, 2, 1, 1, 1}; I2 = {1, 1, 1, 2, 2}; J2 = {2, 1, 1, 2, 1}; d = 6; IntegrateUnitaryHaarIndices[{I1, J1, I2, J}, d]