由辛姆森编著的《结合代数表示论基础》是一部三卷集的研究生水平的复合代数入门书籍，是《伦敦数学学会学生教程》系列之一。《结合代数表示论基础》第三卷，给出了封闭域上有限维复合代数表示论的现代技巧，从tame-wild二分法角度讲述表示-无限覆盖代数。书中包括了欧氏型表示-无限覆盖代数的详细表述，讨论了野生型遗传代数上模型范畴的野生行为。大量的例子和每章末的练习使书中的内容更加丰富，容易理解。详细的证明是初学者和自学者以及想更加详细了解复合代数表示论知识的读者相当十分有益。目次：代数的管状延伸和管状共同延伸；分支代数；欧氏型覆盖代数；野生型遗传代数和覆盖代数；前景展望。

读者对象：适用于代数表示论和数学的相关理论。

Introduction

ⅩⅤ.Tubular extensions and tubular coextensions of algebras

 ⅩⅤ.1.One-point extensions and one-point coextensions of algebras

 ⅩⅤ.2.Tubular extensions and tubular coextensions of algebras

 ⅩⅤ.3.Branch extensions and branch coextensions of algebras

 ⅩⅤ.4.Tubular extensions and tubular coextensions of concealed algebras of Euclidean type

 ⅩⅤ.5.Exercises

ⅩⅥ.Branch algebras

 ⅩⅥ.1.Branches and finite line extensions

 ⅩⅥ.2.Tilted algebras of an equioriented type Am

 ⅩⅥ.3.Exercises

ⅩⅦ.Tilted algebras of Euclidean type

 ⅩⅦ.1.Stone cones in hereditary standard stable tubes

 ⅩⅦ.2.Tilting with hereditary standard stable tubes

 ⅩⅦ.3.Representation-infinite tilted algebras of Euclidean type

 ⅩⅦ.4.Domestic tubular extensions and domestic tubular coextensions of concealed algebras of Euclidean type

 ⅩⅦ.5.A classification of tilted algebras of Euclidean type

 ⅩⅦ.6.A controlled property of the Euler form of tilted algebras of Euclidean type

 ⅩⅦ.7.Exercises

ⅩⅧ.Wild hereditary algebras and tilted algebras of wild type

 ⅩⅧ.1.Regular components

 ⅩⅧ.2.Homomorphisms between regular modules

 ⅩⅧ.3.Perpendicular categories

 ⅩⅧ.4.Wild behaviour of the module category

 ⅩⅧ.5.Tilted algebras of wild type

 ⅩⅧ.6.Exercises

ⅪⅩ.Tame and wild representation type of algebras

 ⅪⅩ.1.Wild representation type

 ⅪⅩ:2.Indecomposable modules over the polynomial algebra K[t]

 ⅪⅩ.3.Tame representation type

 ⅪⅩ.4.Exercises

ⅩⅩ.Perspectives

 ⅩⅩ.1.Components of the Auslander-Reiten quiver of an algebra

 ⅩⅩ.2.The Tits quadratic form of an algebra

 ⅩⅩ.3.Tilted and quasitilted algebras

 ⅩⅩ.4.Algebras of small homological dimensions

 ⅩⅩ.5.Selfinjective algebras of tilted and quasitilted type

 ⅩⅩ.6.Related topics and research directions

Bibliography

Index

List of symbols