Symbolic integration with respect to the Haar measure on the unitary groups

Author PuchaƂa Z.; Miszczak J.
Title Symbolic integration with respect to the Haar measure on the unitary groups
Journal Bulletin of the Polish Academy of Sciences Technical Sciences
Year 2017
Status Published
Volume 65
Issue 1
DOI 10.1515/bpasts-2017-0003
URL https://doi.org/10.1515/bpasts-2017-0003
Abstract <p>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.</p>