Representation Dimension of Artin Algebras PDF Download
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Author: Maurice Auslander
Publisher:
ISBN:
Category : Artin algebras
Languages : en
Pages : 179
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Book Description
Author: Maurice Auslander
Publisher:
ISBN:
Category : Artin algebras
Languages : en
Pages : 179
Get Book Here
Book Description
Author: Maurice Auslander
Publisher:
ISBN:
Category : Algebra, Homological
Languages : en
Pages : 190
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Book Description
Author: Maurice Auslander
Publisher: Cambridge University Press
ISBN: 9780521599238
Category : Mathematics
Languages : en
Pages : 444
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Book Description
This book is an introduction to the contemporary representation theory of Artin algebras, by three very distinguished practitioners in the field. Beyond assuming some first-year graduate algebra and basic homological algebra, the presentation is entirely self-contained, so the book is suitable for any mathematicians (especially graduate students) wanting an introduction to this active field.'...written in a clear comprehensive style with full proofs. It can very well serve as an excellent reference as well as a textbook for graduate students.' EMS Newletter
Author: Maurice Auslander
Publisher: American Mathematical Soc.
ISBN: 9780821809983
Category : Mathematics
Languages : en
Pages : 924
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Book Description
Auslander made contributions to many parts of algebra, and this 2-volume set (the set ISBN is 0-8218-0679-3, already published) contains a selection of his main work.
Author: Vlastimil Dlab
Publisher: Springer
ISBN: 3540397760
Category : Mathematics
Languages : en
Pages : 356
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Book Description
Author: Vlastimil Dlab
Publisher:
ISBN:
Category : Finite groups
Languages : en
Pages : 372
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Book Description
Author: Peter Gabriel
Publisher: Springer Science & Business Media
ISBN: 9783540537328
Category : Mathematics
Languages : en
Pages : 190
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Book Description
From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette
Author: M. Auslander
Publisher: Springer
ISBN: 3540389636
Category : Mathematics
Languages : en
Pages : 391
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Book Description
Author: Karin Erdmann
Publisher: Springer
ISBN: 3319919989
Category : Mathematics
Languages : en
Pages : 304
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Book Description
This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers. The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hölder theorem on composition series, the Artin-Wedderburn theorem on the structure of semisimple algebras and the Krull-Schmidt theorem on indecomposable modules. The authors then go on to study representations of quivers in detail, leading to a complete proof of Gabriel's celebrated theorem characterizing the representation type of quivers in terms of Dynkin diagrams. Requiring only introductory courses on linear algebra and groups, rings and fields, this textbook is aimed at undergraduate students. With numerous examples illustrating abstract concepts, and including more than 200 exercises (with solutions to about a third of them), the book provides an example-driven introduction suitable for self-study and use alongside lecture courses.
Author: Dieter Happel
Publisher: American Mathematical Soc.
ISBN: 0821804448
Category : Mathematics
Languages : en
Pages : 103
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Book Description
We generalize tilting with respect to a tilting module of projective dimension at most one for an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our construction is motivated by the connection between tilting and derived categories. We develop a general theory for such tilting, and are led to a generalization of tilting algebras which we call quasitilted algebras. This class also contains the canonical algebras, and we show that the quasitilted algebras are characterized by having global dimension at most two and each indecomposable module having projective dimension at most one or injective dimension at most one. We also give other characterizations of quasitilted algebras, and give methods for constructing such algebras.
