Integrals of Irreducible Representations of Classical Groups

Details Integrals of Irreducible Representations of Classical Groups Integrals of Irreducible Representations of Classical Groups

2008-11-03

arxiv.org/abs/0811.0219v2

Physics

Mathematical Physics

25 pages

Scientific paper

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.

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