Power Search
Low Price Guarantee
We Take School POs
Young Tableaux: With Applications to Representation Theory and Geometry
Contributor(s): Fulton, William (Author)

View larger image

 ISBN: 0521567246     ISBN-13: 9780521567244
Publisher: Cambridge University Press
OUR PRICE: $56.04  

Binding Type: Paperback - See All Available Formats & Editions
Published: December 1996
Qty:

Annotation: 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.

Click for more in this series: London Mathematical Society Student Texts
Additional Information
BISAC Categories:
- Mathematics | Geometry - General
- Mathematics | Group Theory
- Mathematics | Algebra - General
Dewey: 512.2
LCCN: 95047484
Series: London Mathematical Society Student Texts
Physical Information: 0.65" H x 6.03" W x 9.02" L (0.90 lbs) 272 pages
 
Descriptions, Reviews, Etc.
Publisher 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.
 
Customer ReviewsSubmit your own review
 
To tell a friend about this book, you must Sign In First!