Linear Representations Of Partially Ordered Sets And Vector Space Categories

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Linear Representations of Partially Ordered Sets and Vector Space Categories

Author : Daniel Simson
Publisher : CRC Press
ISBN 13 : 9782881248283
Total Pages : 516 pages
Book Rating : 4.2/5 (482 download)

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Book Synopsis Linear Representations of Partially Ordered Sets and Vector Space Categories by : Daniel Simson

Download or read book Linear Representations of Partially Ordered Sets and Vector Space Categories written by Daniel Simson and published by CRC Press. This book was released on 1993-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.

Algebraic Structures and Their Representations

Author : José Antonio de la Pe?a
Publisher : American Mathematical Soc.
ISBN 13 : 0821836307
Total Pages : 436 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Structures and Their Representations by : José Antonio de la Pe?a

Download or read book Algebraic Structures and Their Representations written by José Antonio de la Pe?a and published by American Mathematical Soc.. This book was released on 2005 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), consisted of plenary sessions of general interest and special sessions on algebraic combinatorics, associative rings, cohomology of rings and algebras, commutative algebra, group representations, Hopf algebras, number theory, quantum groups, and representation theory of algebras. This proceedings volume contains original research papers related to talks at the colloquium. In addition, there are several surveys presenting important topics to a broad mathematical audience. There are also two invited papers by Raymundo Bautista and Roberto Martinez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra.

Computational Methods for Representations of Groups and Algebras

Author : P. Dräxler
Publisher : Birkhäuser
ISBN 13 : 3034887167
Total Pages : 358 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Computational Methods for Representations of Groups and Algebras by : P. Dräxler

Download or read book Computational Methods for Representations of Groups and Algebras written by P. Dräxler and published by Birkhäuser. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents material from 3 survey lectures and 14 additional invited lectures given at the Euroconference "Computational Methods for Representations of Groups and Algebras" held at Essen University in April 1997. The purpose of this meeting was to provide a survey of general theoretical and computational methods and recent advances in the representation theory of groups and algebras. The foundations of these research areas were laid in survey articles by P. Dräxler and R. Nörenberg on "Classification problems in the representation theory of finite-dimensional algebras", R. A. Wilson on "Construction of finite matrix groups" and E. Green on "Noncommutative Gröbner bases, and projective resolutions". Furthermore, new applications of the computational methods in linear algebra to the revision of the classification of finite simple sporadic groups are presented. Computational tools (including high-performance computations on supercomputers) have become increasingly important for classification problems. They are also inevitable for the construction of projective resolutions of finitely generated modules over finite-dimensional algebras and the study of group cohomology and rings of invariants. A major part of this book is devoted to a survey of algorithms for computing special examples in the study of Grothendieck groups, quadratic forms and derived categories of finite-dimensional algebras. Open questions on Lie algebras, Bruhat orders, Coxeter groups and Kazhdan Lusztig polynomials are investigated with the aid of computer programs. The contents of this book provide an overview on the present state of the art. Therefore it will be very useful for graduate students and researchers in mathematics, computer science and physics.

Tame Algebras and Integral Quadratic Forms

Author : Claus M. Ringel
Publisher : Springer
ISBN 13 : 3540391274
Total Pages : 390 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Tame Algebras and Integral Quadratic Forms by : Claus M. Ringel

Download or read book Tame Algebras and Integral Quadratic Forms written by Claus M. Ringel and published by Springer. This book was released on 2006-11-14 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abelian Groups and Representations of Finite Partially Ordered Sets

Author : David Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 1441987509
Total Pages : 256 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Abelian Groups and Representations of Finite Partially Ordered Sets by : David Arnold

Download or read book Abelian Groups and Representations of Finite Partially Ordered Sets written by David Arnold and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this book is an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals.

Algebras, Rings and Modules, Volume 2

Author : Michiel Hazewinkel
Publisher : CRC Press
ISBN 13 : 1351869868
Total Pages : 285 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Algebras, Rings and Modules, Volume 2 by : Michiel Hazewinkel

Download or read book Algebras, Rings and Modules, Volume 2 written by Michiel Hazewinkel and published by CRC Press. This book was released on 2017-04-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.

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.

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.

Representation Theory of Algebras

Author : Raymundo Bautista
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803950
Total Pages : 780 pages
Book Rating : 4.8/5 (39 download)

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Book Synopsis Representation Theory of Algebras by : Raymundo Bautista

Download or read book Representation Theory of Algebras written by Raymundo Bautista and published by American Mathematical Soc.. This book was released on 1996 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of the Representation Theory of Associative Algebras: Volume 1

Author : Ibrahim Assem
Publisher : Cambridge University Press
ISBN 13 : 1139443186
Total Pages : 34 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elements of the Representation Theory of Associative Algebras: Volume 1 by : Ibrahim Assem

Download or read book Elements of the Representation Theory of Associative Algebras: Volume 1 written by Ibrahim Assem and published by Cambridge University Press. This book was released on 2006-02-13 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.

Abelian Groups, Module Theory, and Topology

Author : Dikran Dikranjan
Publisher : CRC Press
ISBN 13 : 0429530064
Total Pages : 381 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Abelian Groups, Module Theory, and Topology by : Dikran Dikranjan

Download or read book Abelian Groups, Module Theory, and Topology written by Dikran Dikranjan and published by CRC Press. This book was released on 2019-05-31 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a stimulating selection of papers on abelian groups, commutative and noncommutative rings and their modules, and topological groups. Investigates currently popular topics such as Butler groups and almost completely decomposable groups.

Rings, Modules, Algebras, and Abelian Groups

Author : Alberto Facchini
Publisher : CRC Press
ISBN 13 : 9780824750817
Total Pages : 530 pages
Book Rating : 4.7/5 (58 download)

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Book Synopsis Rings, Modules, Algebras, and Abelian Groups by : Alberto Facchini

Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini and published by CRC Press. This book was released on 2020-02-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological

Representation Theory of Artin Algebras

Author : Maurice Auslander
Publisher : Cambridge University Press
ISBN 13 : 9780521599238
Total Pages : 444 pages
Book Rating : 4.5/5 (992 download)

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Book Synopsis Representation Theory of Artin Algebras by : Maurice Auslander

Download or read book Representation Theory of Artin Algebras written by Maurice Auslander and published by Cambridge University Press. This book was released on 1997-08-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Abelian Groups and Modules

Author : K.M. Rangaswamy
Publisher : CRC Press
ISBN 13 : 9780824797898
Total Pages : 434 pages
Book Rating : 4.7/5 (978 download)

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Book Synopsis Abelian Groups and Modules by : K.M. Rangaswamy

Download or read book Abelian Groups and Modules written by K.M. Rangaswamy and published by CRC Press. This book was released on 1996-08-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of an international conference on abelian groups and modules held recently in Colorado Springs. Presents the latest developments in abelian groups that have facilitated cross-fertilization of new techniques from diverse areas such as the representation theory of posets, model theory, set theory, and module theory.

Exercises in Algebra

Author : Alexandra I. Kostrikin
Publisher : CRC Press
ISBN 13 : 9782884490306
Total Pages : 480 pages
Book Rating : 4.4/5 (93 download)

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Book Synopsis Exercises in Algebra by : Alexandra I. Kostrikin

Download or read book Exercises in Algebra written by Alexandra I. Kostrikin and published by CRC Press. This book was released on 1996-02-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of exercises for courses in higher algebra, linear algebra and geometry. It is helpful for postgraduate students in checking the solutions and answers to the exercises.

Combinatorial and Geometric Representation Theory

Author : Seok-Jin Kang
Publisher : American Mathematical Soc.
ISBN 13 : 0821832123
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Combinatorial and Geometric Representation Theory by : Seok-Jin Kang

Download or read book Combinatorial and Geometric Representation Theory written by Seok-Jin Kang and published by American Mathematical Soc.. This book was released on 2003 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the international conference on Combinatorial and Geometric Representation Theory. In the field of representation theory, a wide variety of mathematical ideas are providing new insights, giving powerful methods for understanding the theory, and presenting various applications to other branches of mathematics. Over the past two decades, there have been remarkable developments. This book explains the strong connections between combinatorics, geometry, and representation theory. It is suitable for graduate students and researchers interested in representation theory.

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