On the invariant ideals of the symmetric algebra \(S.(V\oplus \Lambda ^ 2V)\)

DOI10.1016/0021-8693(89)90176-2zbMath0721.20027OpenAlexW2039808850MaRDI QIDQ2640704

Andrzej Daszkiewicz

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90176-2

zbMATH Keywords

vector spaceactionsymmetric algebradecomposition formuladirect sumPieri formulasGL(V)-invariant idealsirreducible polynomial GL(V)-modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30)

Related Items

Explicit generalized Pieri maps, Infinitesimal Hecke algebras of \(\mathfrak{so}_N\), Quivers and the cohomology of homogeneous vector bundles, The umbral symbolic method for supersymmetric tensors

Cites Work

• Some remarks on nilpotent orbits
• Young diagrams and determinantal varieties
• Young diagrams and ideals of Pfaffians
• Schur functors and Schur complexes
• A characteristic free approach to invariant theory
• Two new functors from modules to algebras
• Invariant theory, Young bitableaux, and combinatorics
• Tensor Products of Representations
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
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