Insertion and the multiplication of rational schur functions

A scheme to insert one arbitrary rational tableau into another is introduced. Schensted row and column insertion are shown to be, in a sense, complementary. This fact is used to demonstrate that the insertion scheme generalizes those of Stembridge and Thomas and models the multiplication of rational...

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Bibliographic Details
Published inJournal of combinatorial theory. Series A Vol. 65; no. 1; pp. 79 - 116
Main Author Stroomer, Jeffrey
Format Journal Article
LanguageEnglish
Published Elsevier Inc 1994
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Summary:A scheme to insert one arbitrary rational tableau into another is introduced. Schensted row and column insertion are shown to be, in a sense, complementary. This fact is used to demonstrate that the insertion scheme generalizes those of Stembridge and Thomas and models the multiplication of rational Schur functions combinatorially. New tableaux that index the irreducible summands of the product of rational Schur functions are presented.
ISSN:0097-3165
1096-0899
DOI:10.1016/0097-3165(94)90039-6