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Young Tableaux in Combinatorics, Invariant Theory, and Algebra

Download or Read eBook Young Tableaux in Combinatorics, Invariant Theory, and Algebra PDF written by Joseph P.S. Kung and published by Elsevier. This book was released on 2014-05-12 with total page 344 pages. Available in PDF, EPUB and Kindle.
Young Tableaux in Combinatorics, Invariant Theory, and Algebra
Author :
Publisher : Elsevier
Total Pages : 344
Release :
ISBN-10 : 9781483272023
ISBN-13 : 1483272028
Rating : 4/5 (23 Downloads)

Book Synopsis Young Tableaux in Combinatorics, Invariant Theory, and Algebra by : Joseph P.S. Kung

Book excerpt: 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.


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