Young Tableaux 2024 pdf epub mobi 電子書下載

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Young Tableaux pdf epub mobi 著者簡介

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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 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 2024 pdf epub mobi 電子書下載

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Young Tableaux 2024 pdf epub mobi 電子書下載

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出版者:Cambridge University Press

作者:William Fulton

出品人:

頁數:272

譯者:

出版時間:1996-12-28

價格:USD 49.00

裝幀:Paperback

isbn號碼:9780521567244

叢書系列:London Mathematical Society Student Texts

圖書標籤: 數學組閤數學 combinatorics Mathematics Math 教材代數 math

Young Tableaux 2024 pdf epub mobi 電子書下載

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Young Tableaux pdf epub mobi 用戶評價

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復雜的流形的不變量公式竟然可以簡單但是復雜計算中得到清晰的解釋。同調代數和組閤學的楊圖之間，flag流形和格拉斯曼流形之間的變換來自Schur polynomial. 而A.A. Kirillov, I. Pak, Covariants of the symmetric group and its analogues in Weyl algebras 證明外爾的緊群公式來自圖論和組閤學。

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1組閤：楊錶，Knuth等價和RSK對應；這部分比較直觀，但許多證明並不簡單，Littlewood-Richardson rule在1977年纔有第一個證明。2錶示論：S_n和GL(V)的錶示；這部分基本上self-contained，展現楊錶的威力。3幾何：Flag varieties，Schubert calculus和intersection theory；看這部分需要先瞭解代數拓撲和代數幾何。

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後悔沒有早點瞭解Young Tableaux。有趣的是高德納（Knuth）對這理論作齣瞭重要貢獻。

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Young Tableaux 2024 pdf epub mobi 電子書下載