Bijection between indexed monomials and standard bitableaux

DOI10.1016/0012-365X(90)90053-KzbMath0767.05094OpenAlexW1981784606WikidataQ128040173 ScholiaQ128040173MaRDI QIDQ1812781

Shreeram S. Abhyankar, Devadatta M. Kulkarni

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0012-365x(90)90053-k

zbMATH Keywords

RSK correspondencestandard bitableauxbivectorindexed monomialsstraightening law of Doubilet-Rota-Stein

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of representation theory (05E10)

Related Items

Counting of paths and coefficients of the Hilbert polynomial of a determinantal ideal, 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

Cites Work

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• Young diagrams and determinantal varieties
• Coinsertion and standard bitableaux
• Young tableaux and linear independence of standard monomials in multiminors of a multimatrix
• Invariant theory, Young bitableaux, and combinatorics
• Permutations, matrices, and generalized Young tableaux
• Longest Increasing and Decreasing Subsequences
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory