IntHaar swMATH ID: 28082 Software Authors: Alejandro Ginory, Jongwon Kim Description: Weingarten Calculus and the IntHaar Package for Integrals over Compact Matrix Groups. In this paper, we present a uniform formula for the integration of polynomials over the unitary, orthogonal, and symplectic groups using Weingarten calculus. From this description, we further simplify the integration formulas and give several optimizations for various cases. We implemented the optimized Weingarten calculus in Maple in a package called IntHaar for all three compact groups. Here we will discuss its functions, provide instructions for the package, and produce some examples of computed integrals. Homepage: https://arxiv.org/abs/1612.07641 Dependencies: Maple Keywords: Combinatorics; arXiv_math.CO; Representation Theory; arXiv_math.RT; Maple; Weingarten Calculus Related Software: IntU; SF; Maple; Mathematica; Python; RTNI Cited in: 1 Publication Standard Articles 1 Publication describing the Software Year Weingarten Calculus and the IntHaar Package for Integrals over Compact Matrix Groups Alejandro Ginory, Jongwon Kim 2016 Cited by 2 Authors 1 Ginory, Alejandro 1 Kim, Jongwon Cited in 1 Serial 1 Journal of Symbolic Computation Cited in 5 Fields 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Computer science (68-XX) Citations by Year