Tensor product decomposition for finite dimensional sln(C)-modules.

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/74936

Title:	Tensor product decomposition for finite dimensional sln(C)-modules.
Authors:	蔡承佑;TSAI, CHENG-YU
Contributors:	數學系
Keywords:	李代數
Date:	2017-07-05
Issue Date:	2017-10-27 16:12:30 (UTC+8)
Publisher:	國立中央大學
Abstract:	考慮兩個有限維不可分解的sl(n)-module 之張量積。Weyl′s Theorem 保證我們可以將該張量積拆解成很多不可分解的子結構之直和。其中，我們將發現，直和中各項的係數其實就是有名的Littlewood-Richardson coe fficients。;Consider the tensor product of two finite dimensional irreducible sl(n)-modules. By Weyl′s Theorem, we can decompose the tensor product into a direct sum of irreducible sl(n)-submodules. We will prove that the coeff icients in the decomposition are actually the well-known Littlewood-Richardson coeff icients.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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