Spherical functions and immanants
Carlos Alberto Duarte Gamas · Linear and Multilinear Algebra · 2000
Let λ be an irreducible character of Sn corresponding to the partition (r,s) of n. Let A be a positive semidefinite Hermitian n × n matrix. Let dλ (A) and per(A) be the immanants corresponding to λ and to the trivial character of Sn , respectively. A proof of the inequality dλ(A)≤λ(id)per(A) is given.