Elementary construction of the minimal free resolution of the Specht ideal of shape \((n -d,d)\)

DOI10.1016/j.jalgebra.2023.07.028zbMath1525.13017arXiv2206.02701OpenAlexW4385543731MaRDI QIDQ6052922

Kohji Yanagawa, Kosuke Shibata

Publication date: 25 September 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02701

zbMATH Keywords

Cohen-Macaulay ringminimal free resolutionSpecht idealSpecht polynomial

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Syzygies, resolutions, complexes and commutative rings (13D02) Arithmetic rings and other special commutative rings (13F99)

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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?
• Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal
• Monomial Algebras
• Vandermonde determinantal ideals
• PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
• Elementary construction of minimal free resolutions of the Specht ideals of shapes (n − 2,2) and (d,d,1)

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