Integrals of Irreducible Representations of Classical Groups
Mathematical Physics
2010-01-25 v2 math.MP
Abstract
This paper is concerned with integrals which integrands are the monomials of matrix elements of irreducible representations of classical groups. Based on analysis on Young tableaux, we discuss some related duality theorems and compute the asymptotics of the group integrals when the signatures of the irreducible representations are fixed, as the rank of the classical groups go to infinity. These group integrals have physical origins in quantum mechanics, quantum information theory, and lattice Gauge theory.
Cite
@article{arxiv.0811.0219,
title = {Integrals of Irreducible Representations of Classical Groups},
author = {Da Xu and Palle Jorgensen},
journal= {arXiv preprint arXiv:0811.0219},
year = {2010}
}
Comments
25 pages