Cauchy Identities for the Characters of the Compact Classical Groups
Representation Theory
2016-11-18 v2 Probability
Statistics Theory
Statistics Theory
Abstract
Motivated by statistical applications, this paper introduces Cauchy identities for characters of the compact classical groups. These identities generalize the well-known Cauchy identity for characters of the unitary group, which are Schur functions of symmetric function theory. Application to statistical hypothesis testing is briefly sketched.
Keywords
Cite
@article{arxiv.1610.04659,
title = {Cauchy Identities for the Characters of the Compact Classical Groups},
author = {Amir Sepehri},
journal= {arXiv preprint arXiv:1610.04659},
year = {2016}
}