Symbolic integration with respect to the Haar measure on the unitary   group
  We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also provide some examples of usage of the presented package. 
Zbigniew Pucha{\l}a, Jaros{\l}aw Adam Miszczak
physics.comp-ph cs.SC quant-ph