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

Puchała Z., Miszczak J. A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2017

Vol. 65, nr 1

21--27

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.