结合代数表示论基础（第2卷 英文版）
- 文件大小：9.51 MB
- 标准类型：数学书籍
- 标准语言：简体中文
- 文件类型：PDF文档
- 更新时间：2018-04-28
- 下载次数：
- 标签：
资料介绍
结合代数表示论基础（第2卷 英文版）
出版时间：2011年版
内容简介
《数学经典教材（影印版）-结合代数表示论基础（第2卷）》包括Stable tubes、Standard stable tubes、Generalised standard components、Generalised standard stable tubes等内容
目录
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
出版时间：2011年版
内容简介
《数学经典教材（影印版）-结合代数表示论基础（第2卷）》包括Stable tubes、Standard stable tubes、Generalised standard components、Generalised standard stable tubes等内容
目录
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