Combinatoire et Representation du Groupe Symetrique
Title | Combinatoire et Representation du Groupe Symetrique PDF eBook |
Author | D. Foata |
Publisher | Springer |
Pages | 346 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540373853 |
Combinatoire et representation du groupe symetrique; actes
Title | Combinatoire et representation du groupe symetrique; actes PDF eBook |
Author | D. Foata |
Publisher | |
Pages | 339 |
Release | 1977 |
Genre | |
ISBN |
COMBINATOIRE ET REPRESENTATION DU GROUPE SYMETRIQUE- ACTES DE LA TABLE RONDE DU CNRS- CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE.
Title | COMBINATOIRE ET REPRESENTATION DU GROUPE SYMETRIQUE- ACTES DE LA TABLE RONDE DU CNRS- CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE. PDF eBook |
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American Mathematical Society Translations
Title | American Mathematical Society Translations PDF eBook |
Author | United States. Office of Naval Research |
Publisher | American Mathematical Soc. |
Pages | 268 |
Release | 2001-04-10 |
Genre | Mathematics |
ISBN | 9780821896051 |
The articles in this collection present new results in combinatorics, algebra, algebraic geometry, dynamical systems, analysis, and probability. Of particular interest is the survey article by A. N. Kirillov devoted to combinatorics of Young diagrams and related problems of representation theory. Also included are articles devoted to the eightieth birthday of renowned Russian mathematician, V. A. Rokhlin, ``Remembrances of V. A. Rokhlin'', by I. R. Shafarevich, and ``An Unfinished Project of V.A. Rokhlin'', by V. N. Sudakov. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.
Crystal Bases: Representations And Combinatorics
Title | Crystal Bases: Representations And Combinatorics PDF eBook |
Author | Daniel Bump |
Publisher | World Scientific Publishing Company |
Pages | 292 |
Release | 2017-01-17 |
Genre | Mathematics |
ISBN | 9814733466 |
This unique book provides the first introduction to crystal base theory from the combinatorial point of view. Crystal base theory was developed by Kashiwara and Lusztig from the perspective of quantum groups. Its power comes from the fact that it addresses many questions in representation theory and mathematical physics by combinatorial means. This book approaches the subject directly from combinatorics, building crystals through local axioms (based on ideas by Stembridge) and virtual crystals. It also emphasizes parallels between the representation theory of the symmetric and general linear groups and phenomena in combinatorics. The combinatorial approach is linked to representation theory through the analysis of Demazure crystals. The relationship of crystals to tropical geometry is also explained.
Combinatoire Et Représentation Du Groupe Symétrique
Title | Combinatoire Et Représentation Du Groupe Symétrique PDF eBook |
Author | Charles Castaing |
Publisher | |
Pages | 339 |
Release | 1977 |
Genre | Combinatorial analysis |
ISBN | 9780387081434 |
Young Tableaux in Combinatorics, Invariant Theory, and Algebra
Title | Young Tableaux in Combinatorics, Invariant Theory, and Algebra PDF eBook |
Author | Joseph P.S. Kung |
Publisher | Elsevier |
Pages | 344 |
Release | 2014-05-12 |
Genre | Mathematics |
ISBN | 1483272028 |
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.