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.
BT - Bulletin of the Polish Academy of Sciences Technical Sciences DA - 02/2017 DO - 10.1515/bpasts-2017-0003 IS - 1 LA - eng N1 - arXiv:1109.4244 N2 -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.
PY - 2017 SE - 21 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences TI - Symbolic integration with respect to the Haar measure on the unitary groups UR - https://doi.org/10.1515/bpasts-2017-0003 VL - 65 ER -