ENGLISH

Young tableaux, with applications to representation theory and geometry [no pp. 46-47]

By William Fulton

Book information

Publisher
Cambridge University Press
Year
1997
ISBN
0521561442, 9780521561440
LCC
QA165 .F83 1997
Language
english
Format
DJVU
Filesize
2 MB (2397175 bytes)
Series
London Mathematical Society Student Texts
Pages
139\139
Library
kolxoz
DPI
300
Scanned
landscape
Time added
2009-07-20 03:45:11

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.

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