Автор: J.E. Humphreys Название: Introduction to Lie Algebras and Representation Theory ISBN: 0387900527 ISBN-13(EAN): 9780387900520 Издательство: Springer Рейтинг: Цена: 7400.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: K. Erdmann Название: Blocks of Tame Representation Type and Related Algebras ISBN: 3540527095 ISBN-13(EAN): 9783540527091 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Studies algebras that are associated to blocks of tame representation type. This book is suitable for researchers and graduate students interested in the links between representations of finite-dimensional algebras and modular group representation theory.
Описание: From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di- mensional Algebras".
Автор: Erdmann Название: Algebras and Representation Theory ISBN: 3319919970 ISBN-13(EAN): 9783319919973 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1 Introduction.- 2 Algebras.- 3 Modules and Representations.- 4 Simple Modules in the Jordan-Hцlder Theorem.- 5 Semisimple Modules and Semisimple Algebras.- 6 The Structure of Semisimple ALgebras - The Artin-Wedderburn Theorem.- 7 Semisimple Group Algebras and Maschke's Theorem.- 8 Indecomposable Modules.- 9 Representation Type.- 10 Representations of Quivers.- 11 Diagrams and Roots.- 12 Gabriel's Theorem.- 13 Proofs and Background.- 14 Appendix A: Induced Modules for Group Algebras.- 15 Appendix B: Solutions to Selected Exercises.- Index.
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: Barot Michael Название: Introduction to the Representation Theory of Algebras ISBN: 3319114743 ISBN-13(EAN): 9783319114743 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: and (iii) deeper theorems such as Gabriel`s Theorem, the trichotomy and the Theorem of Kac - all accompanied by further examples.Each section includes exercises to facilitate understanding.
Автор: K. Schm?dgen Название: Unbounded Operator Algebras and Representation Theory ISBN: 3034874715 ISBN-13(EAN): 9783034874717 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: *-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory.
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