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Homological Methods, Representation Theory, and Cluster Algebras, Ibrahim Assem; Sonia Trepode


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Автор: Ibrahim Assem; Sonia Trepode
Название:  Homological Methods, Representation Theory, and Cluster Algebras
ISBN: 9783030090296
Издательство: Springer
Классификация:



ISBN-10: 3030090299
Обложка/Формат: Soft cover
Страницы: 223
Вес: 0.37 кг.
Дата издания: 2018
Серия: CRM Short Courses
Язык: English
Издание: Softcover reprint of
Иллюстрации: 13 tables, color; 41 illustrations, black and white; xi, 223 p. 41 illus.
Размер: 234 x 156 x 13
Читательская аудитория: General (us: trade)
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study.The six mini-courses comprising this text were delivered March 7–18, 2016 at a CIMPA (Centre International de Math?matiques Pures et Appliqu?es) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck.

The courses held were:

Advanced homological algebra
Introduction to the representation theory of algebras
Auslander-Reiten theory for algebras of infinite representation type
Cluster algebras arising from surfaces
Cluster tilted algebras
Cluster characters
Introduction to K-theory
Brauer graph algebras and applications to cluster algebras

Дополнительное описание: Introduction to the Representation Theory of  Finite-Dimensional Algebras: The Functorial Approach (M. I. Platzeck).- Auslander–Reiten Theory for Finite-Dimensional Algebras  (P. Malicki).-  Cluster Algebras From Surfaces (R. Schiffler).- Cluster Characte



Homological and Computational Methods in Commutative Algebra

Автор: Aldo Conca; Joseph Gubeladze; Tim R?mer
Название: Homological and Computational Methods in Commutative Algebra
ISBN: 331961942X ISBN-13(EAN): 9783319619422
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting "Homological and Computational Methods in Commutative Algebra" held in Cortona (Italy) from May 30 to June 3, 2016 .

Homological Algebra of Semimodules and Semicontramodules

Автор: Leonid Positselski
Название: Homological Algebra of Semimodules and Semicontramodules
ISBN: 3034803133 ISBN-13(EAN): 9783034803137
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book provides comprehensive coverage on semi-infinite homology and cohomology of associative algebraic structures. It features rich representation-theoretic and algebro-geometric examples and applications.

A Course in Homological Algebra

Автор: Peter J. Hilton; Urs Stammbach
Название: A Course in Homological Algebra
ISBN: 1461264383 ISBN-13(EAN): 9781461264385
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory.

Gorenstein homological algebra

Автор: Iacob, Alina
Название: Gorenstein homological algebra
ISBN: 1138065498 ISBN-13(EAN): 9781138065499
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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Описание: This book is suitable for mathematicians, especially graduate students with an interest in homological algebra and its applications.

Homological methods, representation theory, and cluster algebras

Название: Homological methods, representation theory, and cluster algebras
ISBN: 3319745840 ISBN-13(EAN): 9783319745848
Издательство: Springer
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Цена: 6567.00 р.
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Описание: This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras.

Geometric and Topological Aspects of the Representation Theory of Finite Groups

Автор: Jon F. Carlson; Srikanth B. Iyengar; Julia Pevtsov
Название: Geometric and Topological Aspects of the Representation Theory of Finite Groups
ISBN: 3319940325 ISBN-13(EAN): 9783319940328
Издательство: Springer
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Цена: 20962.00 р.
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Описание: These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled 'Groups, Representations, and Cohomology' and held from June 22 to June 27, 2015 at Sabhal M?r Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of 'Geometric Methods in the Representation Theory of Finite Groups' and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016.

The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.
Homological and Combinatorial Methods in Algebra

Автор: Badawi
Название: Homological and Combinatorial Methods in Algebra
ISBN: 3319741942 ISBN-13(EAN): 9783319741949
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications.

Methods of Homological Algebra

Автор: Sergei I. Gelfand; Yuri I. Manin
Название: Methods of Homological Algebra
ISBN: 3642078133 ISBN-13(EAN): 9783642078132
Издательство: Springer
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Цена: 12577.00 р.
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Описание: Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections.

Homological and Combinatorial Methods in Algebra

Автор: Ayman Badawi; Mohammad Reza Vedadi; Siamak Yassemi
Название: Homological and Combinatorial Methods in Algebra
ISBN: 3030089339 ISBN-13(EAN): 9783030089337
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications. Selected and peer reviewed, the contributions in this volume cover areas that have flourished in the last few decades, including homological algebra, combinatorial algebra, module theory and linear algebra over rings, multiplicative ideal theory, and integer-valued polynomials. Held biennially since 2010, SAA introduces Iranian faculty and graduate students to important ideas in the mainstream of algebra and opens channels of communication between Iranian mathematicians and algebraists from around the globe to facilitate collaborative research. Ideal for graduate students and researchers in the field, these proceedings present the best of the seminar’s research achievements and new contributions to the field.
Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups

Автор: Grandis Marco
Название: Homological Algebra: The Interplay Of Homology With Distributive Lattices And Orthodox Semigroups
ISBN: 9814407062 ISBN-13(EAN): 9789814407069
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание: Explores various aspects of coherence in homological algebra that already appear in the classical situation of abelian groups or abelian categories. This title includes lattices of subobjects that are shown to play an important role in study of homological systems, from simple chain complexes to the structures that give rise to spectral sequences.

Homological Algebra

Автор: S.I. Gelfand; A.I. Kostrikin; S.I. Gelfand; Yu.I.
Название: Homological Algebra
ISBN: 3540533737 ISBN-13(EAN): 9783540533733
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Presents a modern approach to homological algebra together with some important applications in algebraic geometry and algebraic topology. Written by well-known researchers, this book is useful for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.

K-theory and Homological Algebra

Автор: Hvedri Inassaridze
Название: K-theory and Homological Algebra
ISBN: 3540528369 ISBN-13(EAN): 9783540528364
Издательство: Springer
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Цена: 5583.00 р.
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Описание: An account of a seminar held at the Mathematical Institute in Tbilisi, USSR from 1987 to 1988 which dealt with such subjects as algebraic K-theory of monoid algebras and coefficients.


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