Weingarten calculus and the IntHaar package for integrals over compact matrix groups

DOI10.1016/j.jsc.2019.12.003zbMath1475.22016arXiv1612.07641OpenAlexW2995257388WikidataQ114154465 ScholiaQ114154465MaRDI QIDQ2211197

Alejandro Ginory, Jongwon Kim

Publication date: 13 November 2020

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07641

zbMATH Keywords

simple compact Lie groupMaple programWeingarten calculuscompact matrix groupHaar integration

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Integration with respect to measures and other set functions (28A25) Analysis on real and complex Lie groups (22E30) Combinatorial aspects of groups and algebras (05E16) Software, source code, etc. for problems pertaining to topological groups (22-04)

Uses Software

• Maple
• SF
• IntHaar
• IntU

Cites Work

• IntHaar
• IntU
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• A Maple package for symmetric functions
• WEINGARTEN CALCULUS FOR MATRIX ENSEMBLES ASSOCIATED WITH COMPACT SYMMETRIC SPACES
• On some properties of orthogonal Weingarten functions
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