Papers › Symbolic integration with respect to the Haar measure on the unitary group

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

20 Sep 2011arXiv:1109.4244links table onlyarchive 2025-07-28

Zbigniew Puchała, Jarosław Adam Miszczak

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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.

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