结合代数表示论基础. 第2卷

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

《结合代数表示论基础(第2卷)》主要内容包括： Module categories over concealed algebras of Euclidean type、The Coxeter matrix and the defcCt of a hereditary algebra of Euclidean type、The category of regular modules over a hereditary algebra of Euclidean type、3.The category of regular modules over a concealed algebra of Euclidean type、The category of modules over the Kronecker algebra、A characterisation of concealed algebras of Euclidean type、Exercises、Regular modules and tubes over concealed algebras of Euclidean type、Canonical algebras of Euclidean type、Regular modules and tubes over canonical algebras of Euclidean type等。【作者简介】作者：(波)辛姆森