Young Tableaux

With Applications to Representation Theory and Geometry

By:

William Fulton

Format:

Paperback / softback

Series:

London Mathematical Society Student Texts

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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.

Release date Australia

December 28th, 1996

Author

William Fulton

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises

Pages

272

Series

London Mathematical Society Student Texts

Dimensions

153x229x17

ISBN-13

9780521567244

Product ID

1978576

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