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Young Tableaux

With Applications to Representation Theory and Geometry

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Paperback | 26 May 1997

At a Glance

Paperback
272 Pages

Dimensions(cm)
22.86 x 15.24 x 1.55

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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. In the first part of the book the author develops the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding" that can be used to make them into a monoid, and several interesting correspondences. In Part II these results are used to study representations of the symmetric and general linear groups. In Part III we see relations with geometry on Grassmanians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Two appendices contain variations of the combinatorics of Part I and the topology needed to relate subvarieties to cohomology classes. The combinatorial chapters of the book are self-contained so that students will find the discussion easy to follow. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful.

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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Geometry Groups & Group Theory Algebra

Introduction
Historical Background
Mormon history 1830-1890: the early years
Contemporary fundamentalist movements
The people and their communities
Early Stages of Relationships
Deciding to add a new wife to a family
Courtship
Wedding and marriage ceremonies
Honeymoons
Adjusting to a new marriage
Home Environments of Plural Families
Livi. arrangements
Wive. and homes
Husb. ds and homes
anaging Everyday Life
The rotation process: husbands and wives alone together
Budget and resource management
Celebrations
Social-Emotional Relationships
So. al-emotional relationships of husbands and wives
Re. tionships between wives
Family structure
Parents and children
Summing up
Appendices
Table of Contents provided by Publisher. All Rights Reserved.

Young Tableaux

With Applications to Representation Theory and Geometry

At a Glance

Paperback

Shipping

How to return your order

Defective items

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