Proceedings of the Ottawa-Moosonee Workshop in Algebra

Proceedings of the Ottawa-Moosonee Workshop in Algebra PDF Author: Centre for Research in Algebra and Related Fields
Publisher: Carleton University, [Department of] Mathematics and Statistics
ISBN:
Category : Algebra
Languages : en
Pages : 198

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Proceedings of the Ottawa-Moosonee Workshop in Algebra

Proceedings of the Ottawa-Moosonee Workshop in Algebra PDF Author: Centre for Research in Algebra and Related Fields
Publisher: Carleton University, [Department of] Mathematics and Statistics
ISBN:
Category : Algebra
Languages : en
Pages : 198

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Book Description


Surveys in Representation Theory of Algebras

Surveys in Representation Theory of Algebras PDF Author: Alex Martsinkovsky
Publisher: American Mathematical Soc.
ISBN: 1470436795
Category : Mathematics
Languages : en
Pages : 216

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Book Description
This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.

Algebras and Modules II

Algebras and Modules II PDF Author: Idun Reiten
Publisher: American Mathematical Soc.
ISBN: 9780821810767
Category : Mathematics
Languages : en
Pages : 596

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Book Description
The 43 research papers demonstrate the application of recent developments in the representation theory of artin algebras and related topics. Among the algebras considered are tame, bi- serial, cellular, factorial hereditary, Hopf, Koszul, non- polynomial growth, pre-projective, Termperley-Lieb, tilted, and quasi-tilted. Other topics include tilting and co-tilting modules and generalizations as *-modules, exceptional sequences of modules and vector bundles, homological conjectives, and vector space categories. The treatment assumes knowledge of non- commutative algebra, including rings, modules, and homological algebra at a graduate or professional level. No index. Member prices are $79 for institutions and $59 for individuals, which also apply to members of the Canadian Mathematical Society. Annotation copyrighted by Book News, Inc., Portland, OR

Derived Equivalences for Group Rings

Derived Equivalences for Group Rings PDF Author: Steffen König
Publisher: Springer
ISBN: 3540697489
Category : Mathematics
Languages : en
Pages : 256

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Book Description
A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.

Representations of Algebras

Representations of Algebras PDF Author: Vlastimil Dlab
Publisher: American Mathematical Soc.
ISBN: 9780821860199
Category : Mathematics
Languages : en
Pages : 508

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Book Description
The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of papers submitted after the conference. Describing developments at the forefront of the field, this book will be of interest to algebraists working in the field of representation theory.

Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin PDF Author: Marie-Paule Malliavin
Publisher: Springer
ISBN: 3540468145
Category : Mathematics
Languages : en
Pages : 417

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Finite Dimensional Algebras

Finite Dimensional Algebras PDF Author: Yurj A. Drozd
Publisher: Springer Science & Business Media
ISBN: 3642762441
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by writing an Appendix devoted to a new important class of algebras, viz. quasi-hereditary algebras. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February 1993 Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra. Its origin is linked to the work of Hamilton who discovered the famous algebra of quaternions, and Cayley who developed matrix theory. Later finite dimensional algebras were studied by a large number of mathematicians including B. Peirce, C.S. Peirce, Clifford, ·Weierstrass, Dedekind, Jordan and Frobenius. At the end of the last century T. Molien and E. Cartan described the semisimple algebras over the complex and real fields and paved the first steps towards the study of non-semi simple algebras.

Representation Theory of Algebras

Representation Theory of Algebras PDF Author: Raymundo Bautista
Publisher: American Mathematical Soc.
ISBN: 9780821803950
Category : Mathematics
Languages : en
Pages : 780

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Book Description
The ICRA VII was held at Cocoyoc, Mexico, in August 1994. This was the second time that the ICRA was held in Mexico: ICRA III took place in Puebla in 1980. The 1994 conference included 62 lectures, all listed in these Proceedings. Not all contributions presented, however, appear in this book. Most papers in this volume are in final form with complete proofs, with the only exception being the paper of Leszczynski and Skowronski, Auslander algebras of tame representation type, that the editors thought useful to include.

Proceedings, Paris 1987-1988 (39eme Annee)

Proceedings, Paris 1987-1988 (39eme Annee) PDF Author: Marie Paule Malliavin
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 430

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Book Description
Annotation Contents: I. Assem, A. Skowronski: Algébres pré-inclinées et catégories dérivées.- R.K. Brylinski: Stable calculus of the mixed tensor character I.- V. Dlab et C.M. Ringel: Filtrations of right ideals related to projectivity of left ideals.- D. Happel: Hochschild cohomology of finite-dimensional algebras.- L. Le Bruyn: Simultaneous Equivalence of Square matrices.- J.E. Björk: The Auslander condition on Noetherian rings.- P. Carbonne: Groupe des classes de diviseurs des algébres graduées normales.- S.C. Coutinho et M.P. Holland: Differential operators on smooth varieties.- E.K. Ekström: The Auslander condition on graded and filtered Noetherian rings.- T.J. Hodges: K-Theory of Noetherian Rings.- T. Levasseur: Opérateurs différentiels sur les surfaces munies d'une bonne C*-action.- Li Huishi et F. van Oystaeyen: Strongly filtered rings applied to Gabber's integrability theorem and modules with regular singularities.- L.H. Rowen: Primitive ideals of algebras over uncountable fields.- D. Couty: Formes réduites des automorphismes analytiques de Cn à variété linéaire fixe et répulsive.

Representation Theory of Finite Groups and Finite-Dimensional Algebras

Representation Theory of Finite Groups and Finite-Dimensional Algebras PDF Author: Michler
Publisher: Birkhäuser
ISBN: 3034886586
Category : Mathematics
Languages : en
Pages : 526

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Book Description
From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di mensional Algebras". The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.