Resolutions of De Concini–Procesi Ideals of Hooks

DOI10.1080/00927870701511954zbMath1146.13006arXivmath/0507611OpenAlexW2037876223MaRDI QIDQ5436310

Mercedes H. Rosas, Sara Faridi, Riccardo Biagioli

Publication date: 14 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0507611

zbMATH Keywords

partitionssymmetric functionsBetti numbersHilbert and Poincaré series

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

On minimal free resolutions of sub-permanents and other ideals arising in complexity theory ⋮ On the ideal generated by all squarefree monomials of a given degree ⋮ Generalizing Tanisaki's ideal via ideals of truncated symmetric functions ⋮ Monomial and toric ideals associated to Ferrers graphs

Uses Software

• Macaulay2

Cites Work

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• Vanishing ideals of lattice diagram determinants
• The equations of conjugacy classes of nilpotent matrices
• Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups
• Symmetric functions, conjugacy classes and the flag variety
• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Resolutions of Stanley-Reisner rings and Alexander duality
• Resolutions by mapping cones
• Cohen-Macaulay polymatroidal ideals
• CANCELLATION IN RESOLUTIONS AND LEVEL ALGEBRAS

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