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Two Dimensional Tame And Maximal Orders Of Finite Representation Type


Two Dimensional Tame And Maximal Orders Of Finite Representation Type
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Two Dimensional Tame And Maximal Orders Of Finite Representation Type


Two Dimensional Tame And Maximal Orders Of Finite Representation Type
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Author : Idun Reiten
language : en
Publisher:
Release Date : 1989

Two Dimensional Tame And Maximal Orders Of Finite Representation Type written by Idun Reiten and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Associative algebras categories.




Two Dimensional Tame And Maximal Orders Of Finite Representation Type


Two Dimensional Tame And Maximal Orders Of Finite Representation Type
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Author : Idun Reiten
language : en
Publisher: American Mathematical Soc.
Release Date : 1989

Two Dimensional Tame And Maximal Orders Of Finite Representation Type written by Idun Reiten and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


This paper gives a classification of the tame [italic]R-orders of finite representation type in terms of their Auslander-Reiten quivers. Up to reflexive Morita equivalence one can reduce to the case of a tame order of global dimension two. Using covering theory methods, the classification is done by classifying graded orders of global dimension two, and then an interpretation of [capital Greek]Lambda as a skew group ring shows that [capital Greek]Lambda is the completion of its associated graded order.



Two Dimensional Tame And Maximal Orders Of Finite Representation Type


Two Dimensional Tame And Maximal Orders Of Finite Representation Type
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Author : Idun Reiten
language : en
Publisher:
Release Date : 1989

Two Dimensional Tame And Maximal Orders Of Finite Representation Type written by Idun Reiten and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.




Graded Orders


Graded Orders
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Author : F.M., van Oystaeyen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Graded Orders written by F.M., van Oystaeyen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In a clear, well-developed presentation this book provides the first systematic treatment of structure results for algebras which are graded by a goup. The fruitful method of constructing graded orders of special kind over a given order, culminating in applications of the construction of generalized Rees rings associated to divisors, is combined with the theory of orders over graded Krull domains. This yields the construction of generalized Rees rings corresponding to the central ramification divisor of the orders and the algebraic properties of the constructed orders. The graded methods allow the study of regularity conditions on order. The book also touches upon representation theoretic methods, including orders of finite representation type and other aspects of this theory applicable to the classification of orders. The final chapter describes the ring theoretical approach to the classification of orders of global dimension two, originally carried out by M. Artin using more geometrical methods. Since its subject is important in many research areas, this book will be valuable reading for all researchers and graduate students with an interest in non-commutative algebra.



Algebra Representation Theory


Algebra Representation Theory
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Author : Klaus W. Roggenkamp
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-31

Algebra Representation Theory written by Klaus W. Roggenkamp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Mathematics categories.


Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development through the powerful tool of almost split sequences and the Auslander-Reiten quiver. Further insight into the homology of finite groups has illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory which pushes the classical theory further. All this can only be seen in connection with an understanding of the structure of special classes of rings. The aim of this book is to introduce the reader to some modern developments in: Lie algebras, quantum groups, Hopf algebras and algebraic groups; non-commutative algebraic geometry; representation theory of finite groups and cohomology; the structure of special classes of rings.



Trends In Representation Theory Of Algebras And Related Topics


Trends In Representation Theory Of Algebras And Related Topics
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Author : Andrzej Skowroński
language : en
Publisher: European Mathematical Society
Release Date : 2008

Trends In Representation Theory Of Algebras And Related Topics written by Andrzej Skowroński and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Algebra categories.


This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, quantum groups, homological algebra, invariant theory, combinatorics, model theory and theoretical physics. The collection of articles, written by leading researchers in the field, is conceived as a sort of handbook providing easy access to the present state of knowledge and stimulating further development. The topics under discussion include diagram algebras, Brauer algebras, cellular algebras, quasi-hereditary algebras, Hall algebras, Hecke algebras, symplectic reflection algebras, Cherednik algebras, Kashiwara crystals, Fock spaces, preprojective algebras, cluster algebras, rank varieties, varieties of algebras and modules, moduli of representations of quivers, semi-invariants of quivers, Cohen-Macaulay modules, singularities, coherent sheaves, derived categories, spectral representation theory, Coxeter polynomials, Auslander-Reiten theory, Calabi-Yau triangulated categories, Poincare duality spaces, selfinjective algebras, periodic algebras, stable module categories, Hochschild cohomologies, deformations of algebras, Galois coverings of algebras, tilting theory, algebras of small homological dimensions, representation types of algebras, and model theory. This book consists of fifteen self-contained expository survey articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. They contain a large number of open problems and give new perspectives for research in the field.



Trends In The Representation Theory Of Finite Dimensional Algebras


Trends In The Representation Theory Of Finite Dimensional Algebras
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Author : Edward L. Green
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Trends In The Representation Theory Of Finite Dimensional Algebras written by Edward L. Green and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This refereed collection of research papers and survey articles reflects the interplay of finite-dimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMS-IMS-SIAM Joint Summer Research Conference at the University of Washington (Seattle). The volume features several excellent expository articles which will introduce inspiration to researchers in related areas, as it includes original papers spanning a broad spectrum of representation theory.



Representations Of Finite Dimensional Algebras


Representations Of Finite Dimensional Algebras
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Author : Peter Gabriel
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-10-08

Representations Of Finite Dimensional Algebras written by Peter Gabriel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-08 with Mathematics categories.


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



Representation Theory Of Artin Algebras


Representation Theory Of Artin Algebras
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Author : Maurice Auslander
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-21

Representation Theory Of Artin Algebras written by Maurice Auslander and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-21 with Mathematics categories.


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



Representation Theory Of Algebras


Representation Theory Of Algebras
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Author : Raymundo Bautista
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

Representation Theory Of Algebras written by Raymundo Bautista and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.


Addressed to graduate students and research mathematicians interested in associative rings and algebras. The 42 papers consider such topics as Frobenius functions on translation quivers, examples of distinguished tilting sequences on homogeneous varieties, separable deformations of blocks with abelian normal defect group and of derived equivalent global blocks, strong exact Borel sub-algebras and global dimensions of quasi-hereditary algebras, and the Auslander-Reiten quiver of restricted enveloping algebras. Also includes tributes to mathematician Maurice Auslander (1926-94). No index. Member prices are $77 for individuals and $103 for institutions. Annotation copyright by Book News, Inc., Portland, OR