Elements of the representation theory of associative algebras : volume 3 - representation-infinite tilted algebras

By: Daniel SimsonContributor(s): Andrzej SkowrońskiMaterial type: TextTextSeries: London Mathematical Society Student Texts ; 71 Publication details: Cambridge, U.K.: Cambridge University Press, [c2007]Description: 456 pISBN: 9780521708760Subject(s): MathematicsLOC classification: QA251.5
Contents:
XV - Tubular extensions and tubular coextensions of algebras XVI - Branch algebras XVII - Tilted algebras of Euclidean type XVIII - Wild hereditary algebras and tilted algebras of wild type XIX - Tame and wild representation type of algebras XX - Perspectives
Summary: The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA251.5 (Browse shelf (Opens below)) Available Invoice no. IN 7525 ; Date 15-03-2019 01822
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XV - Tubular extensions and tubular coextensions of algebras
XVI - Branch algebras
XVII - Tilted algebras of Euclidean type
XVIII - Wild hereditary algebras and tilted algebras of wild type
XIX - Tame and wild representation type of algebras
XX - Perspectives

The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study. --- summary provided by publisher

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