Semi-invariants of binary forms pertaining to a unimodality theorem of Reiner and Stanton

DOI10.1142/S0129167X21400036zbMath1480.05007arXiv2011.01467OpenAlexW3165572235MaRDI QIDQ5021416

William Y. C. Chen, Ivy D. D. Jia

Publication date: 13 January 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01467

zbMATH Keywords

partitionsbinary formssemi-invariantsGaussian coefficientsunimodality

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (3)

The \(q\)-log-concavity and unimodality of \(q\)-Kaplansky numbers ⋮ Semi-invariants of binary forms and Sylvester's theorem ⋮ A Unified Approach to Unimodality of Gaussian Polynomials

Cites Work

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• Unimodality and Young's lattice
• Sperner properties for groups and relations
• A generalization of a 1998 unimodality conjecture of Reiner and Stanton
• The work of Gian-Carlo Rota on invariant theory
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials
• Zeilberger’s KOH theorem and the strict unimodality of $q$-binomial coefficients
• Algorithms in invariant theory

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