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.
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
Автор: Bocklandt Raf Название: A Gentle Introduction to Homological Mirror Symmetry ISBN: 110848350X ISBN-13(EAN): 9781108483506 Издательство: Cambridge University Press Рейтинг: Цена: 25553.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Originating in mathematical physics, homological mirror symmetry reveals deep connections between different areas of geometry and algebra. This book, which is aimed at graduate students, offers a self-contained and accessible introduction to the subject from the perspective of representation theory of algebras and quivers.
Автор: Mahima Ranjan Adhikari; Avishek Adhikari Название: Basic Modern Algebra with Applications ISBN: 8132215982 ISBN-13(EAN): 9788132215981 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In addition to the group, ring and module theory usually found in a standard modern algebra text, this book discusses group theory, semigroups, groups, topological groups and Lie groups, factorization theory, Noetherian and Artinian rings and more.
Автор: Hvedri Inassaridze Название: Non-Abelian Homological Algebra and Its Applications ISBN: 0792347188 ISBN-13(EAN): 9780792347187 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text exposes methods of non-abelian homological algebra, such as the theory of satellites in abstract categories with respect to presheaves of categories and the theory of non-abelian derived functors of group valued functors.
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.
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 .
Автор: Leonid Positselski Название: Homological Algebra of Semimodules and Semicontramodules ISBN: 3034803133 ISBN-13(EAN): 9783034803137 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Peter J. Hilton; Urs Stammbach Название: A Course in Homological Algebra ISBN: 1461264383 ISBN-13(EAN): 9781461264385 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Roberts, Anthony (professor Of Applied Mathematics, Professor Of Applied Mathematics, University Of Adelaide) Название: Linear algebra for 21st century applications ISBN: 0198856393 ISBN-13(EAN): 9780198856399 Издательство: Oxford Academ Рейтинг: Цена: 15365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Linear Algebra for 21st Century Applications adapts linear algebra to best suit modern teaching and application, and it places SVD as central to the text early on to empower the students in these disciplines to learn and use the best techniques.
Автор: Aldo Conca; Joseph Gubeladze; Tim R?mer Название: Homological and Computational Methods in Commutative Algebra ISBN: 331961942X ISBN-13(EAN): 9783319619422 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 .
Автор: Andre Leroy, Ashish K. Srivastava, Ivo Herzog, Pedro A. Guil Asensio Название: Categorical, Homological and Combinatorial Methods in Algebra ISBN: 1470443686 ISBN-13(EAN): 9781470443689 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 16909.00 р. Наличие на складе: Нет в наличии.
Описание: Contains the proceedings of the AMS Special Session, in honour of S.K. Jain`s 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held in March 12018, at Ohio State University. The articles presented showcase the current state of art in categorical, homological and combinatorial aspects of algebra.
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