本書是一部三卷集的研究生水平的復合代數(shù)入門書籍，是《倫敦數(shù)學學會學生教程》系列之一。本書第三卷，給出了封閉域上有限維復合代數(shù)表示論的現(xiàn)代技巧，從tame-wild二分法角度講述表示-無限覆蓋代數(shù)。書中包括了歐氏型表示-無限覆蓋代數(shù)的詳細表述，討論了野生型遺傳代數(shù)上模型范疇的野生行為。大量的例子和每章末的練習使書中的內(nèi)容更加豐富，容易理解。詳細的證明是初學者和自學者以及想更加詳細了解復合代數(shù)表示論知識的讀者相當十分有益。目次：代數(shù)的管狀延伸和管狀共同延伸；分支代數(shù)；歐氏型覆蓋代數(shù)；野生型遺傳代數(shù)和覆蓋代數(shù)；前景展望。
讀者對象：適用于代數(shù)表示論和數(shù)學的相關理論。
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
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
書單推薦
