Cauchy Identities for the Characters of the Compact Classical Groups
  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. 
Amir Sepehri
math.RT math.PR math.ST stat.TH