| 书名 | 结合代数表示论基础(第2卷) |
| 分类 | 科学技术-自然科学-数学 |
| 作者 | (波)辛姆森 |
| 出版社 | 世界图书出版公司 |
| 下载 | 抱歉，不提供下载，请购买正版图书。 |
| 简介 | 编辑推荐 The first volume serves as a general introduction to some of the tech-niques most commonly usedin representation theory. The quiver technique,the Auslander-Reiten theory and the tilting theory were presented withsome application to finite dimensional algebras over a fixed algebraicallydosed field. 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 Ⅺ.Module categories over concealed algebras of Euclidean type Ⅺ.1.The Coxeter matrix and the defect of a hereditary algebra of Euclidean type Ⅺ.2.The category of regular modules over a hereditary algebra of Euclidean type Ⅺ.3.The category of regular modules over a concealed algebra of Euclidean type Ⅺ.4.The category of modules over the Kronecker algebra Ⅺ.5.A characterisation of concealed algebras of Euclidean type Ⅺ.6.Exercises Ⅻ.Regular modules and tubes over concealed algebras of Euclidean type Ⅻ.1.Canonical algebras of Euclidean type Ⅻ.2.Regular modules and tubes over canonical algebras of Euclidean type Ⅻ.3.A separating family of tubes over a concealed algebra of Euclidean type Ⅻ.4.A controlled property of the Euler form of a concealed algebra of Euclidean type Ⅻ.5.Exercises ⅫⅠ.Indecomposable modules and tubes over hereditary algebras of Euclidean type ⅫⅠ.1.Canonically oriented Euclidean quivers, their Coxeter matrices and the defect ⅫⅠ.2.Tubes and simple regular modules over hereditary algebras of Euclidean type ⅫⅠ.3.Four subspace problem ⅫⅠ.4.Exercises ⅪⅤ. Minimal representation-infinite algebras ⅪⅤ.1.Critical integral quadratic forms ⅪⅤ.2.Minimal representation-infinite algebras ⅪⅤ.3.A criterion for the infinite representation 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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