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Young Tableaux: With Applications to Representation Theory and Geometry (London Mathematical Society Student Texts #35) (Paperback)

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Description


This book 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 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 the author uses these results 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 before appeared in book form. There are numerous exercises throughout, with hints and answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find this book interesting and useful, while students will find the intuitive presentation easy to follow.


Product Details
ISBN: 9780521567244
ISBN-10: 0521567246
Publisher: Cambridge University Press
Publication Date: March 27th, 1997
Pages: 272
Language: English
Series: London Mathematical Society Student Texts