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000931489 1001_ $$aAssem, Ibrahim.
000931489 24510 $$aBasic representation theory of algebras /$$cIbrahim Assem, Flávio U. Coelho.
000931489 260__ $$aCham :$$bSpringer,$$c2020.
000931489 300__ $$a1 online resource (318 pages).
000931489 336__ $$atext$$btxt$$2rdacontent
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000931489 4901_ $$aGraduate Texts in Mathematics  ;$$vv.283
000931489 506__ $$aAccess limited to authorized users.
000931489 520__ $$aThis textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander-Reiten theory and the study of the radical of a module category. It starts by introducing and describing several characterisations of the radical of a module category, then presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander-Reiten quiver, which encodes much of the information on the module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras. Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.
000931489 588__ $$aDescription based on print version record.
000931489 650_0 $$aRepresentations of algebras.
000931489 7001_ $$aCoelho, Flávio Ulhoa.
000931489 77608 $$iPrint version:$$aAssem, Ibrahim$$tBasic Representation Theory of Algebras$$dCham : Springer International Publishing AG,c2020$$z9783030351175
000931489 830_0 $$aGraduate texts in mathematics ;$$v283.
000931489 852__ $$bebk
000931489 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-35118-2$$zOnline Access$$91397441.1
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