Young diagrams and ideals of Pfaffians

DOI10.1016/0001-8708(80)90046-8zbMath0444.20037OpenAlexW2029043187MaRDI QIDQ1144661

Silvana Abeasis, Alberto Del Fra

Publication date: 1980

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(80)90046-8

zbMATH Keywords

irreducible modulesskew-symmetric matricessymmetric algebraPfaffiansG- invariant prime ideals

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (32)

Noetherianity of some degree two twisted commutative algebras ⋮ On the invariant ideals of the symmetric algebra \(S.(V\oplus \Lambda ^ 2V)\) ⋮ Unnamed Item ⋮ On the geometry and representation theory of isomeric matrices ⋮ Young diagrams and determinantal varieties ⋮ Test, multiplier and invariant ideals ⋮ Local cohomology with support in ideals of symmetric minors and Pfaffians ⋮ The spectrum of a twisted commutative algebra ⋮ The symplectic group and determinants ⋮ On area-minimizing Pfaffian varieties ⋮ The Arithmetic Perfection of Buchsbaum-Eisenbud Varieties and Generic Modules of Projective Dimension Two ⋮ Socle degrees for local cohomology modules of thickenings of maximal minors and sub-maximal Pfaffians ⋮ Powers of ideals generated by weak d-sequences ⋮ Relations between the minors of a generic matrix ⋮ Algebras defined by powers of determinantal idelas ⋮ On some plethysms ⋮ Finiteness properties of congruence classes of infinite-by-infinite matrices ⋮ Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians ⋮ On the resolutions of the powers of the Pfaffian ideals ⋮ Infinitesimal Hecke algebras of \(\mathfrak{so}_N\) ⋮ Rees algebra of ideals generated by pfaffians ⋮ The umbral symbolic method for supersymmetric tensors ⋮ Topological Noetherianity of polynomial functors ⋮ Regularity and cohomology of Pfaffian thickenings ⋮ On jet schemes of Pfaffian ideals ⋮ Multiplicities of classical varieties ⋮ Noetherianity up to conjugation of locally diagonal inverse limits ⋮ Canonical modules of Rees algebras ⋮ Lagrangian subbundles and codimension 3 subcanonical subschemes. ⋮ Rings of invariants and linkage of determinantal ideals ⋮ Multivariate polynomials, standard tableaux, and representations of symmetric groups ⋮ Minors of symmetric and exterior powers

Cites Work

• Unnamed Item
• Unnamed Item
• A characteristic free approach to invariant theory
• Two new functors from modules to algebras
• Invariant theory, Young bitableaux, and combinatorics
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory

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