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Book synopsis

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 presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow.

Book details

Book category Books in English Mathematics & science Mathematics Combinatorics & graph theory

• Full title: Young Tableaux
• Subtitle: With Applications to Representation Theory and Geometry
• Author: William Fulton
• Language: English
• Binding: Paperback
• Number of pages: 272
• EAN: 9780521567244
• ISBN: 0521567246
• ID: 04092897
• Publisher: Cambridge University Press
• Weight: 418 g
• Dimensions: 229 × 164 × 17 mm
• Date of publishing: 28. December 1996

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