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Author : William Fulton
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 244/5 ( reviews)
Book Synopsis Young Tableaux by : William Fulton
Download or read book Young Tableaux written by William Fulton. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.
Author : Joseph P.S. Kung
Release : 2014-05-12
Genre : Mathematics
Kind : eBook
Book Rating : 028/5 ( reviews)
Book Synopsis Young Tableaux in Combinatorics, Invariant Theory, and Algebra by : Joseph P.S. Kung
Download or read book Young Tableaux in Combinatorics, Invariant Theory, and Algebra written by Joseph P.S. Kung. This book was released on 2014-05-12. Available in PDF, EPUB and Kindle. 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.
Author : Susumu Ariki
Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 328/5 ( reviews)
Book Synopsis Representations of Quantum Algebras and Combinatorics of Young Tableaux by : Susumu Ariki
Download or read book Representations of Quantum Algebras and Combinatorics of Young Tableaux written by Susumu Ariki. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This book contains most of the nonstandard material necessary to get acquainted with this new rapidly developing area. It can be used as a good entry point into the study of representations of quantum groups. Among several tools used in studying representations of quantum groups (or quantum algebras) are the notions of Kashiwara's crystal bases and Lusztig's canonical bases. Mixing both approaches allows us to use a combinatorial approach to representations of quantum groups and toapply the theory to representations of Hecke algebras. The primary goal of this book is to introduce the representation theory of quantum groups using quantum groups of type $A {r-1 {(1) $ as a main example. The corresponding combinatorics, developed by Misra and Miwa, turns out to be thecombinatorics of Young tableaux. The second goal of this book is to explain the proof of the (generalized) Leclerc-Lascoux-Thibon conjecture. This conjecture, which is now a theorem, is an important breakthrough in the modular representation theory of the Hecke algebras of classical type. The book is suitable for graduate students and research mathematicians interested in representation theory of algebraic groups and quantum groups, the theory of Hecke algebras, algebraic combinatorics, andrelated fields.
Author : Shreeram Shankar Abhyankar
Release : 1988
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Young Tableaux and Linear Independence of Standard Monomials in Multiminors of a Multimatrix by : Shreeram Shankar Abhyankar
Download or read book Young Tableaux and Linear Independence of Standard Monomials in Multiminors of a Multimatrix written by Shreeram Shankar Abhyankar. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jang Soo Kim
Release : 2023-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 949/5 ( reviews)
Book Synopsis Weight Multiplicities and Young Tableaux Through Affine Crystals by : Jang Soo Kim
Download or read book Weight Multiplicities and Young Tableaux Through Affine Crystals written by Jang Soo Kim. This book was released on 2023-03-09. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
