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Young Tableaux: With Applications to Representation Theory and Geometry

Young Tableaux: With Applications to Representation Theory and Geometry Paperback - 1996

by William Fulton

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New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The author develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The intuitive presen
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First line

The first algorithm, called row-insertion or row bumping, takes a tableau T, and a positive integer x, and constructs a new tableau, donated T x.

From the rear cover

Young tableaux are fillings of the boxes of diagrams that correspond to partitions with positive integers, that are strictly increasing down columns and weakly increasing along rows. 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, the representations of the symmetric and general linear groups, and the geometry of flag varieties. Many of these applications have not been available in book form.