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    Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work
    Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work
    Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work
    Ebook257 pages7 hours

    Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work

    By Joseph P.S. Kung

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    Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work is an anthology of papers on Young tableaux and their applications in combinatorics, invariant theory, and algebra. Topics covered include reverse plane partitions and tableau hook numbers; some partitions associated with a partially ordered set; frames and Baxter sequences; and Young diagrams and ideals of Pfaffians. Comprised of 16 chapters, this book begins by describing a probabilistic proof of a formula for the number f? of standard Young tableaux of a given shape f?. The reader is then introduced to the generating function of R. P. Stanley for reverse plane partitions on a tableau shape; an analog of Schensted's algorithm relating permutations and triples consisting of two shifted Young tableaux and a set; and a variational problem for random Young tableaux. Subsequent chapters deal with certain aspects of Schensted's construction and the derivation of the Littlewood-Richardson rule for the multiplication of Schur functions using purely combinatorial methods; monotonicity and unimodality of the pattern inventory; and skew-symmetric invariant theory. This volume will be helpful to students and practitioners of algebra.
    LanguageEnglish
    PublisherAcademic Press
    Release dateMay 12, 2014
    ISBN9781483272023
    Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work

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