Matrix forms of immanant inequalities

2021/03/07 by Felix Huber, Huber, Felix, Hans Maassen +1
Computer Science · Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Quantum Mechanics and Non-Hermitian Physics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2103.04317

openalex publication_date 2021/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We translate inequalities and conjectures for immanants and generalized matrix functions into inequalities in the Löwner order. These have the form of trace polynomials and generalize the inequalities from [FH, J. Math. Phys. 62 (2021), 2, 022203].

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