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Titlebook: Homological Methods, Representation Theory, and Cluster Algebras; Ibrahim Assem,Sonia Trepode Textbook 2018 Springer International Publish

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楼主: 调停
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Cluster Characters,essively vast number of fields of mathematics were uncovered. Among these is the representation theory of finite-dimensional algebras, whose links to cluster algebras became apparent in, for instance, (R. Marsh, M. Reineke and A. Zelevinsky (2003). Trans. Amer. Math. Soc. 355(10), 4171–4186.) [.], (
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A Course on Cluster Tilted Algebras, from the 7th to the 18th of March 2016 in Mar del Plata (Argentina). The aim of the course was to introduce the participants to cluster tilted algebras and their applications in the representation theory of algebras.
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Brauer Graph Algebras,ph algebras is given in great detail with many examples to illustrate the concepts. An interpretation of Brauer graphs as decorated ribbon graphs is included. A section on gentle algebras and their associated ribbon graph, trivial extensions of gentle algebras, admissible cuts of Brauer graph algebr
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Ibrahim Assem,Sonia TrepodeUnderscores cluster algebras—one of the most important highlights of today‘s mathematical landscape.Addressed to graduate students, young researchers, and research mathematicians.Assumes minimal previ
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,Auslander–Reiten Theory for Finite-Dimensional Algebras,ar del Plata. The aim of the course, consisting of four lectures, was to provide a brief introduction to the notion of an almost split sequence and its use in the representation theory of finite-dimensional algebras. The first two sections are reduced, and the next three sections are extended in comparison with the above-mentioned course.
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