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Spherical functions and immanants
Authors:Carlos Gamas
Institution:  a Departamento de Matematica, Universidade de Coimbra, Coimbra, Portugal
Abstract: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.
Keywords:Spherical functions and immanants
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