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Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras (London Mathematical Society Student Texts) (v. 3) download epub

by Daniel Simson,Andrzej Skowronski


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Daniel Simson, Andrzej Skowronski.

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Series: London Mathematical Society Student Texts (Book 72).

This volume provides an introduction to the representation theory of ite tilted algebras from the point of view of the time-wild dichotomy. Series: London Mathematical Society Student Texts (Book 72).

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Goodreads helps you keep track of books you want to read. Start by marking Elements of the Representation Theory of Associative Algebras: Volume 3, ite Tilted Algebras. as Want to Read: Want to Read savin. ant to Read.

Homological Methods, Representation Theory, and Cluster Algebras. 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 ite 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.

London Mathematical Society Student Texts 7.

London Mathematical Society Student Texts 72. Price: 5. 0. The first volume was a general introduction to the three major techniques (quivers, Auslander-Reiten theory, tilting theory) used in the study of the representations of associative algebras. This third volume studies ite tilted algebras, tame and wild representation types in detail, and concludes with a summary chapter on selected recent results. Gizem Karaali is assistant professor of mathematics at Pomona College.

00 0. Categories: Algebra. Elements of the Representation Theory of Associative Algebras, Volume 1: Techniques of Representation Theory. London Mathematical Society Student Texts, Volume 65. Undefined.

Ibrahim Assem, Daniel Simson, and Andrzej Skowroński, Elements of the representation theory of associative algebras. Vol. 1, London Mathematical Society Student Texts, vol. 65, Cambridge University Press, Cambridge, 2006, Techniques of representation theory. MR 2197389 (2006j:16020)Google Scholar. 15. Maurice Auslander, Idun Reiten, and SmaløSverre . Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics, vol. 36, Cambridge University Press, Cambridge, 1995. MR 1314422 (96c:16015)Google Scholar.

In abstract algebra, a representation of a Hopf algebra is a representation of its underlying associative algebra. That is, a representation of a Hopf algebra H over a field K is a K-vector space V with an action H V → V usually denoted by juxtaposition ( that is, the image of (h,v) is written hv ). The vector space V is called an H-module. The module structure of a representation of a Hopf algebra H is simply its structure as a module for the underlying associative algebra

This volume provides an introduction to the representation theory of ite tilted algebras from the point of view of the time-wild dichotomy.

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.
Elements of the Representation Theory of Associative Algebras: Volume 3, Representation-infinite Tilted Algebras (London Mathematical Society Student Texts) (v. 3) download epub
Mathematics
Author: Daniel Simson,Andrzej Skowronski
ISBN: 0521708761
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Cambridge University Press; 1 edition (November 12, 2007)
Pages: 464 pages