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An Introduction to Quiver Representations, Harm Derksen, Jerzy Weyman


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Цена: 112860.00T
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Автор: Harm Derksen, Jerzy Weyman
Название:  An Introduction to Quiver Representations
ISBN: 9781470425562
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1470425564
Обложка/Формат: Hardback
Страницы: 344
Вес: 0.76 кг.
Дата издания: 30.01.2018
Серия: Graduate studies in mathematics
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Algebraic geometry
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Поставляется из: Англии
Описание: This book is an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The material in the opening chapters is developed starting slowly with topics such as homological algebra, Morita equivalence, and Gabriels theorem. Next, the book presents Auslander-Reiten theory, including almost split sequences and the Auslander-Reiten transform, and gives a proof of Kacs generalization of Gabriels theorem. Once this basic material is established, the book goes on with developing the geometric invariant theory of quiver representations. The book features the exposition of the saturation theorem for semi-invariants of quiver representations and its application to Littlewood-Richardson coefficients. In the final chapters, the book exposes tilting modules, exceptional sequences and a connection to cluster categories.The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout the text. The book will also be of use to experts in such areas as representation theory, invariant theory and algebraic geometry, who want learn about application of quiver representations to their fields.
Дополнительное описание: Algebra|Algebraic geometry


Introduction to Political Psychology

Автор: Cottam Martha L.
Название: Introduction to Political Psychology
ISBN: 1848726724 ISBN-13(EAN): 9781848726727
Издательство: Taylor&Francis
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Цена: 68390.00 T
Наличие на складе: Нет в наличии.
Описание: This comprehensive, user-friendly introductory textbook to political psychology explores the psychological origins of political behavior. The authors introduce readers to a broad range of theories, concepts, and case studies of political activity to illustrate that behavior. The book examines many patterns of political behaviors, including leadership, group behavior, voting, media effects, race, ethnicity, nationalism, social movements, terrorism, war, and genocide. It explores some of the most horrific things people do to each other, as well as how to prevent and resolve conflict – and how to recover from it. The book contains numerous features to enhance understanding, including text boxes highlighting current and historical events to help students see the connection between the world around them and the concepts they are learning. Different research methodologies used in the discipline are employed, such as experimentation and content analysis. The third edition of the book has two new chapters, one on the media, and one on social movements. This accessible and engaging introductory textbook is suitable as a primary text on a range of upper-level courses in political psychology, political behavior, and related fields, including policymaking.

Introduction to Mathematical Cryptography

Автор: Jeffrey Hoffstein and Jill Pipher
Название: Introduction to Mathematical Cryptography
ISBN: 1493917102 ISBN-13(EAN): 9781493917105
Издательство: Springer
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Цена: 83850.00 T
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Описание: An Introduction to Mathematical Cryptography

Lie Groups, Lie Algebras, and Representations

Автор: Hall Brian
Название: Lie Groups, Lie Algebras, and Representations
ISBN: 3319134663 ISBN-13(EAN): 9783319134666
Издательство: Springer
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Цена: 50810.00 T
Наличие на складе: Невозможна поставка.
Описание:

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.

In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:

  • a treatment of the Baker-Campbell-Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras
  • motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)
  • an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras
  • a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments

The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincar -Birkhoff-Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.

Review of the first edition

This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended.

-- The Mathematical Gazette


Algebras, Quivers and Representations

Автор: Aslak Bakke Buan; Idun Reiten; ?yvind Solberg
Название: Algebras, Quivers and Representations
ISBN: 3642394841 ISBN-13(EAN): 9783642394843
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book features survey and research papers from The Abel Symposium 2011. It illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories.

Introduction to the Theory of Banach Representations of Groups

Автор: Yurii I. Lyubich
Название: Introduction to the Theory of Banach Representations of Groups
ISBN: 3764322071 ISBN-13(EAN): 9783764322076
Издательство: Springer
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Цена: 74490.00 T
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Описание: The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences.

Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)

Автор: Kac Victor G Et Al
Название: Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2Nd Edition)
ISBN: 9814522198 ISBN-13(EAN): 9789814522199
Издательство: World Scientific Publishing
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Цена: 33790.00 T
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Описание: The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gℓ∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These Lie algebras appear in the lectures in connection to the Sugawara construction, which is the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. In particular, the book provides a complete proof of the Kac determinant formula, the key result in representation theory of the Virasoro algebra.The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how the key notions of the theory of vertex algebras -- such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations -- simplify and clarify the constructions of the first edition of the book.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two-dimensional statistical models, and string theory.

An Introduction to the Language of Category Theory

Автор: Steven Roman
Название: An Introduction to the Language of Category Theory
ISBN: 3319419161 ISBN-13(EAN): 9783319419169
Издательство: Springer
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Цена: 51230.00 T
Наличие на складе: Поставка под заказ.
Описание: The first chapter of the book introduces the definitions of category and functor and discusses diagrams,duality, initial and terminal objects, special types of morphisms, and some special types of categories,particularly comma categories and hom-set categories.

Representations of Elementary Abelian  p -Groups and Vector Bundles

Автор: Benson
Название: Representations of Elementary Abelian p -Groups and Vector Bundles
ISBN: 1107174171 ISBN-13(EAN): 9781107174177
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.

Introduction to Linear Algebra 5 ed.

Автор: Strang
Название: Introduction to Linear Algebra 5 ed.
ISBN: 0980232775 ISBN-13(EAN): 9780980232776
Издательство: Cambridge Academ
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Цена: 0.00 T
Наличие на складе: Невозможна поставка.
Описание: Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions, while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (including practice problems, exams, and development of textbook examples), plus codes in MATLAB®, Julia, and Python.

Quantum Theory, Groups and Representations

Автор: Peter Woit
Название: Quantum Theory, Groups and Representations
ISBN: 3319646109 ISBN-13(EAN): 9783319646107
Издательство: Springer
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Цена: 74530.00 T
Наличие на складе: Невозможна поставка.
Описание: The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject.

Galois Representations and (Phi, Gamma)-Modules

Автор: Peter Schneider
Название: Galois Representations and (Phi, Gamma)-Modules
ISBN: 110718858X ISBN-13(EAN): 9781107188587
Издательство: Cambridge Academ
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Цена: 57030.00 T
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Описание: The first detailed and self-contained introduction to a key part of local number theory, which uses the general framework of Lubin-Tate extensions of local number fields. This book allows graduate students to acquire the necessary basis for solving research problems, while also offering researchers many of the basic results.

Algebras, Quivers and Representations

Автор: Aslak Bakke Buan; Idun Reiten; ?yvind Solberg
Название: Algebras, Quivers and Representations
ISBN: 364243018X ISBN-13(EAN): 9783642430183
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book features survey and research papers from The Abel Symposium 2011. It illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systems and triangulated categories.


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