Young Tableaux pdf epub mobi txt 电子书下载 2024

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William Fulton

Cambridge University Press

1996-12-28

272

USD 49.00

Paperback

London Mathematical Society Student Texts

9780521567244

图书标签: 数学组合数学 combinatorics Mathematics Math 教材代数 math

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发表于2024-12-23

Young Tableaux epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Young Tableaux pdf epub mobi txt 电子书下载 2024

图书描述

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.

Young Tableaux 下载 mobi epub pdf txt 电子书

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Young Tableaux pdf epub mobi txt 电子书下载

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用户评价

评分☆☆☆☆☆

后悔没有早点了解Young Tableaux。有趣的是高德纳（Knuth）对这理论作出了重要贡献。

评分☆☆☆☆☆

复杂的流形的不变量公式竟然可以简单但是复杂计算中得到清晰的解释。同调代数和组合学的杨图之间，flag流形和格拉斯曼流形之间的变换来自Schur polynomial. 而A.A. Kirillov, I. Pak, Covariants of the symmetric group and its analogues in Weyl algebras 证明外尔的紧群公式来自图论和组合学。

评分☆☆☆☆☆

后悔没有早点了解Young Tableaux。有趣的是高德纳（Knuth）对这理论作出了重要贡献。