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

Autorzy Puchała Z.; Miszczak J.
Tytuł Symbolic integration with respect to the Haar measure on the unitary groups
Czasopismo Bulletin of the Polish Academy of Sciences Technical Sciences
Rok 2017
Status Published
Tom 65
Numer 1
DOI 10.1515/bpasts-2017-0003
URL https://doi.org/10.1515/bpasts-2017-0003
Abstrakt <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>