Young Tableaux by William Fulton

Young Tableaux by William Fulton

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Résumé

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 presentation and numerous exercises make the book suitable for beginning graduate students as well as researchers.

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Young Tableaux by William Fulton

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.
SKU Non disponible
ISBN 13 9780521567244
ISBN 10 0521567246
Titre Young Tableaux
Auteur William Fulton
Série London Mathematical Society Student Texts
État Non disponible
Type de reliure Paperback
Éditeur Cambridge University Press
Année de publication 1997-03-27
Nombre de pages 272
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible