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.
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.
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.
Автор: Badawi Название: Homological and Combinatorial Methods in Algebra ISBN: 3319741942 ISBN-13(EAN): 9783319741949 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: S.I. Gelfand; A.I. Kostrikin; S.I. Gelfand; Yu.I. Название: Homological Algebra ISBN: 3540533737 ISBN-13(EAN): 9783540533733 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Enochs Edgar E Название: Relative Homological Algebra ISBN: 3110215209 ISBN-13(EAN): 9783110215205 Издательство: Walter de Gruyter Цена: 56785.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists.
In this new edition the authors have added well-known additional material in the first three chapters, and added new material that was not available at the time the original edition was published. In particular, the major changes are the following:
Chapter 1: Section 1.2 has been rewritten to clarify basic notions for the beginner, and this has necessitated a new Section 1.3.
Chapter 3: The classic work of D. G. Northcott on injective envelopes and inverse polynomials is finally included. This provides additional examples for the reader.
Chapter 11: Section 11.9 on Kaplansky classes makes volume one more up to date.The material in this section was not available at the time the first edition was published.
The authors also have clarified some text throughout the book and updated the bibliography by adding new references.
The book is also suitable for an introductory course in commutative and ordinary homological algebra.
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: Grandis Marco Название: Homological Algebra: In Strongly Non-Abelian Settings ISBN: 9814425915 ISBN-13(EAN): 9789814425919 Издательство: World Scientific Publishing Рейтинг: Цена: 16790.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on 'Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups', published by the same Editor, but can be read independently of the latter.The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell -- a moderate generalisation of abelian categories that is nevertheless crucial for a theory of 'coherence' and 'universal models' of (even abelian) homological algebra. The main motivation of the present, much wider extension is that the exact sequences or spectral sequences produced by unstable homotopy theory cannot be dealt with in the previous framework.According to the present definitions, a semiexact category is a category equipped with an ideal of 'null' morphisms and provided with kernels and cokernels with respect to this ideal. A homological category satisfies some further conditions that allow the construction of subquotients and induced morphisms, in particular the homology of a chain complex or the spectral sequence of an exact couple.Extending abelian categories, and also the p-exact ones, these notions include the usual domains of homology and homotopy theories, e.g. the category of 'pairs' of topological spaces or groups; they also include their codomains, since the sequences of homotopy 'objects' for a pair of pointed spaces or a fibration can be viewed as exact sequences in a homological category, whose objects are actions of groups on pointed sets.
Автор: Hvedri Inassaridze Название: K-theory and Homological Algebra ISBN: 3540528369 ISBN-13(EAN): 9783540528364 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: M. Scott Osborne Название: Basic Homological Algebra ISBN: 038798934X ISBN-13(EAN): 9780387989341 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; [...] one is quickly able to find necessary details." EMS Newsletter
Автор: Peter J. Hilton; Urs Stammbach Название: A Course in Homological Algebra ISBN: 0387948236 ISBN-13(EAN): 9780387948232 Издательство: Springer Рейтинг: Цена: 11878.00 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. This title addresses a number of select topics and describes their applications, illustrating the range and depth of their developments.
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