A brief survey of Specht ideals and their perfection in the two-rowed case

DOI10.1090/conm/805/16138zbMATH Open1548.13015MaRDI QIDQ6630005

Chris McDaniel

Publication date: 30 October 2024

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Actions of groups on commutative rings; invariant theory (13A50) Cohen-Macaulay modules (13C14)

Cites Work

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• Independence numbers of graphs and generators of ideals
• Square-free Gröbner degenerations
• Specht modules and symmetric groups
• Cohen-Macaulay quotients of polynomial rings
• Specht series for skew representations of symmetric groups
• Die irreduziblen Darstellungen der symmetrischen Gruppe
• Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
• Regularity of Cohen-Macaulay Specht ideals
• When is a Specht ideal Cohen-Macaulay?
• Representations of rational Cherednik algebras with minimal support and torus knots.
• The Lefschetz properties
• Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal
• On Vandermonde Varieties
• Monomial ideals, almost complete intersections and the Weak Lefschetz property
• The Weak Lefschetz Property for monomial complete intersection in positive characteristic
• On Cohen–Macaulayness ofS_n-Invariant Subspace Arrangements
• A note on the reducedness and Gröbner bases of Specht ideals
• Vandermonde determinantal ideals
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS
• Elementary construction of minimal free resolutions of the Specht ideals of shapes (n − 2,2) and (d,d,1)

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