Representations Of Algebras And Related Topics

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Representations of Algebras and Related Topics

Author : Andrzej Skowroński
Publisher : European Mathematical Society
ISBN 13 : 9783037191019
Total Pages : 744 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Representations of Algebras and Related Topics by : Andrzej Skowroński

Download or read book Representations of Algebras and Related Topics written by Andrzej Skowroński and published by European Mathematical Society. This book was released on 2011 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which explores recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical field, is conceived as a handbook to provide easy access to the present state of knowledge and stimulate further development. The many topics discussed include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, and quantum loop algebras. This book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. The articles contain a large number of examples and open problems and give new perspectives for research in the field.

Representations of Algebras and Related Topics

Author : Ragnar-Olaf Buchweitz
Publisher : American Mathematical Soc.
ISBN 13 : 0821834150
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Algebras and Related Topics by : Ragnar-Olaf Buchweitz

Download or read book Representations of Algebras and Related Topics written by Ragnar-Olaf Buchweitz and published by American Mathematical Soc.. This book was released on 2005 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twelve-year-old Molly and her ten-year-old brother, Michael, have never liked their younger stepsister, Heather. Ever since their parents got married, she's made Molly and Michael's life miserable. Now their parents have moved them all to the country to live in a house that used to be a church, with a cemetery in the backyard. If that's not bad enough, Heather starts talking to a ghost named Helen and warning Molly and Michael that Helen is coming for them. Molly feels certain Heather is in some kind of danger, but every time she tries to help, Heather twists things around to get her into trouble. It seems as if things can't get any worse. But they do -- when Helen comes. "Genuinely scary, complete with dark secrets from the past, unsettled graves, and a very real ghost." -- The Bulletin of the Center for Children's Books "An unusually scary, well-crafted ghost fantasy." -- Kirkus Reviews

Representations of Algebras and Related Topics

Author : Ragnar-Olaf Buchweitz
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885925
Total Pages : 420 pages
Book Rating : 4.8/5 (859 download)

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Book Synopsis Representations of Algebras and Related Topics by : Ragnar-Olaf Buchweitz

Download or read book Representations of Algebras and Related Topics written by Ragnar-Olaf Buchweitz and published by American Mathematical Soc.. This book was released on with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume resulted from the Tenth International Conference on Representations of Algebras and Related Topics held at The Fields Institute (Toronto, ON, Canada). The collection of research and survey articles, honoring Vlastimil Dlab's seventieth birthday, reflects state-of-the-art research on the topic. Leading experts contributed papers, demonstrating the interaction between representation theory of finite dimensional algebras and neighboring subjects. A wide range of topics are covered, including quantum groups, the theory of Lie algebras, the geometry and combinatorics of tilting theory, commutative algebra, algebraic geometry, homology theories, and derived and triangulated categories. The book is suitable for graduate students and researchers interested in the theory of algebras.

Trends in Representation Theory of Algebras and Related Topics

Author : Andrzej Skowroński
Publisher : European Mathematical Society
ISBN 13 : 9783037190623
Total Pages : 732 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis Trends in Representation Theory of Algebras and Related Topics by : Andrzej Skowroński

Download or read book Trends in Representation Theory of Algebras and Related Topics written by Andrzej Skowroński and published by European Mathematical Society. This book was released on 2008 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 0821834169
Total Pages : 502 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry by : Vlastimil Dlab

Download or read book Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 2004 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

Representations of Algebras and Related Topics

Author : Sheila Brenner
Publisher :
ISBN 13 : 9781299820746
Total Pages : pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Representations of Algebras and Related Topics by : Sheila Brenner

Download or read book Representations of Algebras and Related Topics written by Sheila Brenner and published by . This book was released on 2014-05-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of expository surveys given by some distinguished mathematicians during the 1990 International Mathematical Congress.

Advances in Representation Theory of Algebras

Author : David J. Benson
Publisher : European Mathematical Society
ISBN 13 : 3037191252
Total Pages : 1 pages
Book Rating : 4.0/5 (371 download)

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Book Synopsis Advances in Representation Theory of Algebras by : David J. Benson

Download or read book Advances in Representation Theory of Algebras written by David J. Benson and published by European Mathematical Society. This book was released on 2013 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of articles devoted to representations of algebras and related topics. Dististinguished experts in this field presented their work at the International Conference on Representations of Algebras, which took place in Bielefeld in 2012. Many of the expository surveys are included here. Researchers of representation theory will find in this volume interesting and stimulating contributions to the development of the subject.

Trends in Representation Theory of Algebras and Related Topics

Author : José Antonio de la Peña
Publisher : American Mathematical Soc.
ISBN 13 : 0821838180
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Trends in Representation Theory of Algebras and Related Topics by : José Antonio de la Peña

Download or read book Trends in Representation Theory of Algebras and Related Topics written by José Antonio de la Peña and published by American Mathematical Soc.. This book was released on 2006 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics. Some additional articles are included in order to complete a panoramic view of the main trends of the subject. The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience. The articles include new proofs, examples, and detailed arguments. Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, $A$-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel-Roiter measure for modules, and selfinjective algebras.

Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry

Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871454
Total Pages : 508 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry by : Vlastimil Dlab

Download or read book Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ''instructional'' workshop preceding the conference, there were also workshops on ''Commutative Algebra, Algebraic Geometry and Representation Theory'', ''Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ''Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

Representations of Algebras and Related Topics

Author : H. Tachikawa
Publisher :
ISBN 13 : 9781107390171
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Representations of Algebras and Related Topics by : H. Tachikawa

Download or read book Representations of Algebras and Related Topics written by H. Tachikawa and published by . This book was released on 1992 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of expository surveys given by some distinguished mathematicians during the 1990 International Mathematical Congress.

Representation Theory of Algebras and Related Topics

Author : Raymundo Bautista
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803967
Total Pages : 428 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Representation Theory of Algebras and Related Topics by : Raymundo Bautista

Download or read book Representation Theory of Algebras and Related Topics written by Raymundo Bautista and published by American Mathematical Soc.. This book was released on 1996 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings report a number of lecture series delivered during the Workshop on Representation Theory of Algebras and Related Topics held at Universidad Nacional Autonoma de Mexico (UNAM) in August 1994. The workshop was dedicated to recent advances in the field and its interaction with other areas of mathematics, such as algebraic geometry, ring theory, and representation of groups. The program of the Workshop consisted of 9 lecture series. In addition there was a Tame Day consisting of 6 lectures reporting on the recent advances in the study of tame algebras and their module categories. During the Workshop there was a session devoted to the exhibition of computer programs developed by participants. These programs are implementations of algorithms related to the calculation of important aspects of algebras and their module categories.

Algebras and Representation Theory

Author : Karin Erdmann
Publisher : Springer
ISBN 13 : 3319919989
Total Pages : 304 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Algebras and Representation Theory by : Karin Erdmann

Download or read book Algebras and Representation Theory written by Karin Erdmann and published by Springer. This book was released on 2018-09-07 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebras and Modules II

Author : Idun Reiten
Publisher : American Mathematical Soc.
ISBN 13 : 9780821810767
Total Pages : 596 pages
Book Rating : 4.8/5 (17 download)

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Book Synopsis Algebras and Modules II by : Idun Reiten

Download or read book Algebras and Modules II written by Idun Reiten and published by American Mathematical Soc.. This book was released on 1998 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Lie Algebras, Vertex Operator Algebras, and Related Topics

Author : Katrina Barron
Publisher : American Mathematical Soc.
ISBN 13 : 1470426668
Total Pages : 274 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lie Algebras, Vertex Operator Algebras, and Related Topics by : Katrina Barron

Download or read book Lie Algebras, Vertex Operator Algebras, and Related Topics written by Katrina Barron and published by American Mathematical Soc.. This book was released on 2017-08-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14–18, 2015, at the University of Notre Dame, Notre Dame, Indiana. Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. The papers presented here include recent results and descriptions of ongoing research initiatives representing the broad influence and deep connections brought about by the work of Lepowsky and Wilson and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.

Representations of Algebras and Related Structures

Author : Aslak Bakke Buan
Publisher :
ISBN 13 : 9783985470549
Total Pages : 0 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Representations of Algebras and Related Structures by : Aslak Bakke Buan

Download or read book Representations of Algebras and Related Structures written by Aslak Bakke Buan and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

Author : Kailash C. Misra
Publisher : American Mathematical Soc.
ISBN 13 : 1470418444
Total Pages : 355 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics by : Kailash C. Misra

Download or read book Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2016-06-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

Introduction to Lie Algebras and Representation Theory

Author : J.E. Humphreys
Publisher : Springer Science & Business Media
ISBN 13 : 1461263980
Total Pages : 189 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Lie Algebras and Representation Theory by : J.E. Humphreys

Download or read book Introduction to Lie Algebras and Representation Theory written by J.E. Humphreys and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.