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