Elementary construction of minimal free resolutions of the Specht ideals of shapes (n − 2,2) and (d,d,1)

DOI10.1142/s0219498823501992zbMath1528.13012arXiv2010.06522OpenAlexW3198491600MaRDI QIDQ6168146

Kosuke Shibata, Kohji Yanagawa

Publication date: 8 August 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.06522

zbMATH Keywords

Cohen-Macaulay ringminimal free resolutionSpecht idealSpecht polynomial

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14)

Related Items (3)

Elementary construction of the minimal free resolution of the Specht ideal of shape \((n -d,d)\) ⋮ Setting the scene for Betti characters ⋮ An equivariant Hochster's formula for Sn$\mathfrak {S}_n$‐invariant monomial ideals

Cites Work

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• Independence numbers of graphs and generators of ideals
• Regularity of Cohen-Macaulay Specht ideals
• When is a Specht ideal Cohen-Macaulay?
• Betti numbers of symmetric shifted ideals
• Representations of rational Cherednik algebras with minimal support and torus knots.
• Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal
• On Cohen–Macaulayness ofS_n-Invariant Subspace Arrangements
• Monomial Algebras
• Vandermonde determinantal ideals
• PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS
• An equivariant Hochster's formula for Sn$\mathfrak {S}_n$‐invariant monomial ideals

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