Pairs of matrices that have the same immanant

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Abstract

Let χ be an irreducible C-character on the symmetric group Sn and B = [bij] be an n × n matrix over C. The function dχ(B) = ∑σ∈Sn χ(σ) Πi=1n biσ(i) called an immanant. The main result of this paper is describing some matrices A satisfying dχ(AB) = dχ(B) for a given matrix B.

Original languageEnglish
Pages (from-to)193-201
Number of pages9
JournalLinear and Multilinear Algebra
Volume40
Issue number3
DOIs
Publication statusPublished - 1 Jan 1996

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