Young Tableaux

Young Tableaux: with Applications to Representation Theory and Geometry

by Fulton, William

Type Book
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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, 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 these results are used to study represent…

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Title Statements

  • Full title :Young Tableaux : with Applications to Representation Theory and Geometry / William Fulton.

Summary

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, 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 these results are used 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 appeared in book form. There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow.

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Edition Statements

  • Publication Date:1997.

Publication Statements

Notes

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The Physical Object

  • Description:1 online resource (272 pages)

Edition Identifiers

  • ISBN:9780511626241, 051162624X
  • oclc:ocn976449113
  • LC Classification:QA165
  • Dewey Decimal:512/.2

Table of Contents

Pt. I. Calculus of tableaux -- pt. II. Representation theory -- pt. III. Geometry.

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Subjects

Combinatieleer Grupperepresentasjon Kombinatorikk Young tableaux Young, Tableaux de Youngsches Schema Youngsches Tableau

Writers

Fulton, William

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