《結合代數表示論基礎》是2011年世界圖書出版公司出版的圖書，ISBN是7510029694, 9787510029691。
基本介紹
- 書名：結合代數表示論基礎
- 作者：（加拿大）阿瑟姆（Assem.I.）
- 出版社：世界圖書出版公司
- 出版時間：2011年1月1日
- 頁數：458 頁
- 定價：59 元
- 開本：24 開
- ISBN：9787510029691
- 正文語種：英語
- 尺寸：22.4 x 14.6 x 2 cm
- 重量：839 g
作者簡介,內容簡介,目錄,
作者簡介
作者：（加拿大）阿瑟姆（Assem.I.）
內容簡介
《結合代數表示論基礎(第1卷)(英文版)》內容簡介：The idea of representing a complex mathematical object by a simplerone is as old as mathematics itself. It is particularly useful in classificationproblems. For instance, a single linear transformation on a finite dimen-sional vector space is very adequately characterised by its reduction to itsrational or its Jordan canonical form. It is now generally accepted that therepresentation theory of associative algebras traces its origin to Hamilton'sdescription of the complex numbers by pairs of real numbers. During the1930s, E. Noether gave to the theory its modern setting by interpreting rep-resentations as modules. That allowed the arsenal of techniques developedfor the study of semisimple algebras as well as the language and machineryof homological algebra and category theory to be applied to representationtheory. Using these, the theory grew rapidly over the past thirty years.
目錄
0.Introduction
I.Algebras and modules
1.1.Algebras
1.2.Modules
1.3.Semisimple modules and the radical of a module . .
1.4.Direct sum decompositions
1.5.Projective and injective modules . .
1.6.Basic algebras and embeddings of module categories
