| 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 |
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