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The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained…
Cover; Series Page; Title; Copyright; Contents; Preface; Dedication; Notation; Part I: Calculus of tableaux; 1 Bumping and sliding; 1.1 Row-insertion; 1.2 Sliding; jeu de taquin; 2 Words; the plactic monoid; 2.1 Words and elementary transformations; 2.2 Schur polynomials; 2.3 Co…
