Young tableaux and linear independence of standard monomials in multiminors of a multimatrix

DOI10.1016/0012-365X(91)90467-GzbMath0781.15003OpenAlexW2162841013MaRDI QIDQ1182980

Sudhir R. Ghorpade

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0012-365x(91)90467-g

zbMATH Keywords

Young tableauxlinear independencestandard monomialsmultimatrixmultiminors

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (6)

Young bitableaux, lattice paths and Hilbert functions ⋮ Resolution of singularities and modular Galois theory ⋮ Coinsertion and standard bitableaux ⋮ Generalized roinsertive correspondence between multitableaux and multimonomials ⋮ Generalized rodeletive correspondence between multitableaux and multimonomials ⋮ Bijection between indexed monomials and standard bitableaux

Cites Work

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• Young diagrams and determinantal varieties
• Invariant theory, Young bitableaux, and combinatorics
• Young multitableaux and higher dimensional determinants
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• A Remark on Determinantal Loci
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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