{"product_id":"9783319114743","title":"Introduction to the Representation Theory of Algebras","description":"\u003ch1\u003eIntroduction to the Representation Theory of Algebras\u003c\/h1\u003e \u003ch2\u003eBarot, Michael\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book gives a general introduction to the theory of representations of algebras. It starts with examples of classification problems of matrices under linear transformations, explaining the three common setups: representation of quivers, modules over algebras and additive functors over certain categories. The main part is devoted to (i) module categories, presenting the unicity of the decomposition into indecomposable modules, the Auslander–Reiten theory and the technique of knitting; (ii) the use of combinatorial tools such as dimension vectors and integral quadratic forms; and (iii) deeper theorems such as Gabriel‘s Theorem, the trichotomy and the Theorem of Kac – all accompanied by further examples.\u003cbr\u003eEach section includes exercises to facilitate understanding. By keeping the proofs as basic and comprehensible as possible and introducing the three languages at the beginning, this book is suitable for readers from the advanced undergraduate level onwards and enables them to consult related, specific research articles.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-01-14\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319114743\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-11475-0\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 179\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45991112245388,"sku":"9783319114743","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319114743.jpg?v=1775840140","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319114743","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}