A simple counterexample for the permanent-on-top conjecture

DOI10.7153/mia-2022-25-01OpenAlexW3121112482WikidataQ113688760 ScholiaQ113688760MaRDI QIDQ5030413

Hoang Anh Tran

Publication date: 17 February 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03428

zbMATH Keywords

representation theorypermanentpositive semi-definite Hermitian matricesPOT conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representation theory for linear algebraic groups (20G05) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03) Tensor products of linear operators (47A80)

Related Items

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Cites Work

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• An update on a few permanent conjectures
• The permanent-on-top conjecture is false
• On permanental compounds
• An extremal property of the permanent and the determinant
• A counterexample to a question of Bapat and Sunder
• A counterexample to a question of Bapat & Sunder