Maximal lexicographic spectra and ranks for states with fixed uniform margins

DOI10.1090/proc/14494zbMath1454.20014arXiv1801.00986OpenAlexW2963345814MaRDI QIDQ5223162

Xin Li

Publication date: 17 July 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00986

zbMATH Keywords

rankquantum marginal problemgeneralized discrete Weyl operatorsmaximal lexicographic spectrumrectangular Kronecker coefficients

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Eigenvalues, singular values, and eigenvectors (15A18) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• On (almost) extreme components in Kronecker products of characters of the symmetric groups.
• Nonvanishing of Kronecker coefficients for rectangular shapes.
• The spectra of quantum states and the Kronecker coefficients of the symmetric group
• Nonzero Kronecker coefficients and what they tell us about spectra
• Quantum state transformations and the Schubert calculus
• Multiple hooks in Kronecker products of \(S_{n}\) characters and a conjecture of Berele and Imbo
• Kronecker coefficients for some near-rectangular partitions
• Rectangular Kronecker coefficients and plethysms in geometric complexity theory
• Inequalities: theory of majorization and its applications

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