結合代數表示論基礎·第2卷

結合代數表示論基礎·第2卷

《結合代數表示論基礎·第2卷》是2011年1月1日世界圖書出版社出版的圖書,作者是辛姆森。

基本介紹

  • 中文名:結合代數表示論基礎·第2卷
  • 作者:辛姆森
  • 出版時間:2011年1月1日
  • 出版社:世界圖書出版社
  • 頁數:308 頁
  • ISBN:9787510029684
內容簡介,圖書目錄,

內容簡介

《數學經典教材(影印版)-結合代數表示論基礎(第2卷)》包括Stable tubes、Standard stable tubes、Generalised standard components、Generalised standard stable tubes等內容。

圖書目錄

Introduction
X.Tubes
X.1. Stable tubes
X.2. Standard stable tubes
X.3. Generalised standard components
X.4. Generalised standard stable tubes
X.5. Exercises.
X1. Module categories over concealed algebras of Euclidean type
X1.1.The Coxeter matrix and the defcCt of a hereditary algebra of Euclidean type
X1.2.The category of regular modules over a hereditary algebra of Euclidean type
X1.3.The category of regular modules over a concealed algebra of Euclidean type
X1.4.The category of modules over the Kronecker algebra
X1.5.A characterisation of concealed algebras of Euclidean type
X1.6.Exercises
XIl. Regular modules and tubes over concealed algebras of Euclidean type
XIl.1. Canonical algebras of Euclidean type
XI.2. Regular modules and tubes over canonical algebras of Euclidean type
XIl.3.A separating family of tubes over a concealed algebra of Euclidean type
XIl.4.A controlled property of the Euler form of a concealed algebra of Euclidean type
XIl.5. Exercises
XlII. Indecomposable modules and tubes over hereditary algebras of Euclidean type
XIIl.1.Canonically oriented Euclidean quivers,their Coxeter matrices and the defect
XIIl.2.Tubes and simple regular modules over hereditary algebrasof Euclidean type
XIIl.3.Four subspace problem
XIIl.4.Exercises
XIV. Minimal representation-infinlte algebras
XⅣ.1. Critical integral quadratic forillS
XIV.2.Minimal representation-infinite algebras
XⅣ.3.A criterion for the infinite re~resentation type of algebras
XIV.4.A classification of concealed algebras of Euclidean type
XIV.5.Exercises
Bibliography
Index
List of symbols

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